Batch Relocate Folders Based on Portion of Folder Name

I have thousands of folders that I need to relocate to other folders based on a portion of the folder name. The folders look like this:

M:\Blah Blah\Blahty\Blah Blah\Projects Dept # Added\GG001128 - 4137
M:\Blah Blah\Blahty\Blah Blah\Projects Dept # Added\GG004057 - 4137
M:\Blah Blah\Blahty\Blah Blah\Projects Dept # Added\GG001242 - 7567
M:\Blah Blah\Blahty\Blah Blah\Projects Dept # Added\GG001732 - 4166X
M:\Blah Blah\Blahty\Blah Blah\Projects Dept # Added\GG001944 - 7005X
M:\Blah Blah\Blahty\Blah Blah\Projects Dept # Added\GG001946 - 7005X

Based on the last 4 or 5 characters of the folder name (if 5, will contain a trailing X), I need to relocate the folders to:

M:\Blah Blah\Blahty\Blah Blah\CUMC\4137 - NBD Nobody Has A Clue
M:\Blah Blah\Blahty\Blah Blah\CUMC\4166X - DER Dooby Doo
M:\Blah Blah\Blahty\Blah Blah\CUMC\7567 - AAC Animal Care
M:\Blah Blah\Blahty\Blah Blah\CUMC\7005X - ARK Noah

Spent a couple hours googling to no joy, and have a deadline at work I have to meet, so I'll greatly appreciate any help provided.