The most practical thing, IMO, is to use your arranger keyboard as a master keyboard and store in every performance memory the right program change number to be sent to your module for each song. I think that in the PSR 9000 this can be done storing the number either in the Music Database or in the OTS settings (but I am not sure about that). The 9000 pro has actually two midi outs and two different settings for master keyboard 1 and 2.
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Korg Kronos 61 and PA3X-Pro76, Roland G-70, BK7-m and Integra 7, Casio PX-5S, Fender Stratocaster with Fralin pickups, Fender Stratocaster with Kinman pickups, vintage Gibson SG standard.