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Finding the Fourth Proportional to 9,897.52, 13,658.24 and 5,916.28

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Solution

The fourth proportional to 9,897.52, 13,658.24 and 5,916.28 is: 8,164.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.52 : 13,658.24 = 5,916.28 : x
  2. Step 2: Convert to fraction form
    9,897.52/13,658.24 = 5,916.28/x
  3. Step 3: Cross multiply
    9,897.52x = 13,658.24 × 5,916.28
  4. Step 4: Simplify right side
    9,897.52x = 80,805,972.15
  5. Step 5: Solve for x
    x = 80,805,972.15/9,897.52
  6. Step 6: Final answer
    x = 8,164.26

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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.