You could make use of the source array capability in non-sequential mode. Within the properties for your source object (which would be a single fiber), you would use one of the array settings as shown below.
The settings are then controlled on a single line/object and duplicated across the entire array. So if you were to trace 100 rays against the parent source, you would get 100 rays from each of your 9000 fibers.
https://my.zemax.com/en-US/Knowledge-Base/kb-article/?ka=KA-01427
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