This may be similar to trying to get a Windows 10 incompatible game working. The program will preferentially use any d3d9.dll in its own program directory ahead of the one in C:Windows\System32 (sometimes that one is even hidden from the program!).
Try first COPYing (not moving) the d3d9.dll from C:Windows\System32 into the same folder as the Winzip executable and if that doesn't work, you can search for and find ~half a dozen other d3d9.dll files to try in the C:\Windows folder before you start trying ones from Windows 7 or 8.
Note that some of these will be x86 even on a 64-bit system so they shouldn't work as your screenshot suggests your version of Winzip is 64-bit. If it works keep in mind Microsoft should...