How I fixed my drooping pull-out sprayer on my kitchen faucet.
My Moen Faucet (don't know model number but it looks just like the picture I posted above) has a pull-out spout/sprayer that is supposed to dock back where it is pulled out from, but which, in my case droops because the plastic (That's right, it is chromed plastic that only LOOKS liked metal) was wearing away. It would droop so much that sometimes it would just fall out. I considered buying a whole new faucet so I went to my local hardware store and found out that they are quite expensive.
Then I saw a perfect solution; a 3/4" straight copper coupler in the copper pipe parts section for 63 cents.
At home, I disconnected the pull-out spout/sprayer handle from its hose using a small adjustable wrench, and pushed the hose back down through the hole.
I didn't have the right size of drill bit or reamer to match the outside diameter of the fitting so I used my dremmel with a cylindrical grind stone and ream out what remained of the plastic docking seat in the body of the faucet, (plastic ridges that were worn away) a little at a time, checking to see if the copper fitting would fit, concentrating on keeping it at the same angle as the plastic ridges originally were at. When it finally fit, I mixed up some 5-minute epoxy cement and slathered the outside of the copper coupler. I inserted it into the hole, leaving about 1/4" sticking out. I waited just a minute for the epoxy to start to stiffen up but still be movable, (be careful not to let it set completely) and very carefully inserted the spout handle into the copper coupler, and pushed it all the way in, seating it as it was meant to originally. This pushed the copper fitting in to the perfect position. I held it exactly in position for a few minutes to allow it to set enough so that it wouldn't pull out when I removed the spout, then I very carefully removed it, leaving the copper fitting exactly in the right place. Some of the epoxy was visible on the outside of the copper fitting and so I smoothed it with my finger, being careful not to get any into the gap at the bottom where a tab on the spout handle fits in for proper alignment. (Clean out this gap out if any gets in there.) After 10 minutes or so I fed the hose back up through the faucet body, through the copper fitting, and re-attached it to the spout handle. Now it looks like it did when it was brand new, and in fact, is better than new because the copper will not wear away like the original plastic did. This procedure will probably work with your drooping pull-out faucet but you have to know the diameter of the original seat. Measure with a micrometer if you have one (if not they are selling cheap ones at Home Depot for about $10) and get a piece of metal pipe that diameter and cut to length if necessary. I was lucky that the 3/4" copper straight coupler just happened to have the perfect inner diameter.