I thought everyone knew by now that Photobucket stinks and to NEVER use it. We can't get past the pop ups, etc. When YOU log on, YOU don't get that I guess, we do when we use your link. Use something else or just use the wonderful image posting we now have! (attachment manager)
Photobucket has left thousands and thousands of posts, all over the internet, useless. It is the scourge of the earth.
Please ALWAYS state the year, make and model of truck when you start a post.
Anyway, if you don't have the means to stretch/shrink or don't want to take a chance on making it worse; Rivet or weld a piece of angle iron on the inside behind seat, across oil can area and onto non oil can area.. I can't see the area you speak of, so can't go any farther with explanation.
If you don't like that idea, screw a big piece of 3/4 plywood to the inside of cab, shaped accordingly. The rivets or screws may be hidden by the bed. I don't know.
In other words, it needs backing or stiffening usually done by factory dimples/ribs/cross breaking/beading or double wall. The area may already have this and it has been "compromised" with a speaker hole or some other modification.
Is it making noise or what? Ask yourself why no one else has this problem. Something damaged, changed, removed, added, cut, bent?
Stretching/shrinking is for pro's ONLY.