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Finding the Fourth Proportional to 9,261.66, 13,892.31 and 3,716.25

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Solution

The fourth proportional to 9,261.66, 13,892.31 and 3,716.25 is: 5,574.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,261.66 : 13,892.31 = 3,716.25 : x
  2. Step 2: Convert to fraction form
    9,261.66/13,892.31 = 3,716.25/x
  3. Step 3: Cross multiply
    9,261.66x = 13,892.31 × 3,716.25
  4. Step 4: Simplify right side
    9,261.66x = 51,627,319.23
  5. Step 5: Solve for x
    x = 51,627,319.23/9,261.66
  6. Step 6: Final answer
    x = 5,574.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.