Final answer:
To find the rational numbers greater than -4 1/3, convert it to an improper fraction and compare it to the given options.
Step-by-step explanation:
To determine the rational numbers located to the right of -4 1/3 on a number line, we need to compare the given options to -4 1/3 and identify the numbers greater than it.
Let's convert -4 1/3 to an improper fraction first: -4 1/3 = -13/3.
Now we can compare the given options:
-4 1/4 = -17/4
-4 1/5 = -21/5
-4 1/2 = -9/2
-4 1/6 = -25/6
From these options, the rational numbers greater than -4 1/3 are -17/4, -21/5, and -9/2.