Assuming the UV tubes are not LED...
The likely problem is an undersized transformer (undersized transformer). The transformer is likely not physically large enough, or to be able to supply the current required for four bulbs (9w/bulb x 4bulbs = 36 wats total).
A Transformer's voltage can also start sagging at max load as they age - especially if any oxidation occurs on the transformer plates. More oxidation (rusted) steel means less magnetizable iron. Also, oxidation pushes the laminated steel plates apart. This air gap reduces magnetic coupling between plates.
My advice, try a larger (higher current) transformer of the same voltage.