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Finding the Fourth Proportional to 9,287.13, 13,934.25 and 5,592

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Solution

The fourth proportional to 9,287.13, 13,934.25 and 5,592 is: 8,390.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,287.13 : 13,934.25 = 5,592 : x
  2. Step 2: Convert to fraction form
    9,287.13/13,934.25 = 5,592/x
  3. Step 3: Cross multiply
    9,287.13x = 13,934.25 × 5,592
  4. Step 4: Simplify right side
    9,287.13x = 77,920,326
  5. Step 5: Solve for x
    x = 77,920,326/9,287.13
  6. Step 6: Final answer
    x = 8,390.14

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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.