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Finding the Fourth Proportional to 9,517.68, 14,277.24 and 2,592

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Solution

The fourth proportional to 9,517.68, 14,277.24 and 2,592 is: 3,888.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,517.68 : 14,277.24 = 2,592 : x
  2. Step 2: Convert to fraction form
    9,517.68/14,277.24 = 2,592/x
  3. Step 3: Cross multiply
    9,517.68x = 14,277.24 × 2,592
  4. Step 4: Simplify right side
    9,517.68x = 37,006,606.08
  5. Step 5: Solve for x
    x = 37,006,606.08/9,517.68
  6. Step 6: Final answer
    x = 3,888.20

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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.