I would play exactly like this with 9T. The lead out into you is a great way of defining your hand and allowing villain to thus figure out exactly how to play his hand. If you had AJ on the flop, I would expect to be just called by my bet into you on the turn. If the river came with no more scare cards I'd probably bet half the pot and take it down.

Your raise there though tells me you have a decent hand (at least two pair) and are probably protecting from the draw heavy board. A push makes it look like he's semibluffing and trying to take the pot away from you and he knows you have enough of a hand to "look him up."

unless you know villain will do this with a draw i certainly don't think you have enough of a hand here to call