Katie runs one-third of Xavier's distance, which is 84/3 miles = <<84/3=28>>28 miles.

Cole runs a quarter of Katie's distance, which translates to 28/4 = <<28/4=7>>7 miles.

# Answer

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Question:
Xavier runs three times as many miles as Katie, who runs 4 times as many miles as Cole. If Xavier runs 84 miles, how many miles does Cole run?
Answer:
Let's think step by step.

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Xavier runs three times as many miles as Katie, who runs 4 times as many miles as Cole. If Xavier runs 84 miles, how many miles does Cole run?
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