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Finding the Fourth Proportional to 9,542.88, 13,169.17 and 5,351.13

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Solution

The fourth proportional to 9,542.88, 13,169.17 and 5,351.13 is: 7,384.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,542.88 : 13,169.17 = 5,351.13 : x
  2. Step 2: Convert to fraction form
    9,542.88/13,169.17 = 5,351.13/x
  3. Step 3: Cross multiply
    9,542.88x = 13,169.17 × 5,351.13
  4. Step 4: Simplify right side
    9,542.88x = 70,469,940.66
  5. Step 5: Solve for x
    x = 70,469,940.66/9,542.88
  6. Step 6: Final answer
    x = 7,384.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.