Lets say the pole is 100 units long.
That would mean that 33+1/3 units are yellow, leaving 66+2/3 units.
Half of these would be blue, therefore there are 33+1/3 blue units, leaving 33+1/3 units.
A quarter of this is green, and (33+1/3)/4 is 8+1/3, so 8+1/3 units are green, leaving 25 units.
2/3 of this is red, and (2/3)*25 is 16+2/3, so 16+2/3 units are red, leaving 8+1/3 units.
Therefore 8+1/3 units=9 inches.
Divide 8+1/3 by 9 to get 1 inch=25/27 units.
The the pole is 100 units long, so to get inches, we multiply it by 25/27 to get...
92+16/27 inches long
