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Finding the Fourth Proportional to 9,952.17, 13,732.77 and 5,702.97

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Solution

The fourth proportional to 9,952.17, 13,732.77 and 5,702.97 is: 7,869.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,952.17 : 13,732.77 = 5,702.97 : x
  2. Step 2: Convert to fraction form
    9,952.17/13,732.77 = 5,702.97/x
  3. Step 3: Cross multiply
    9,952.17x = 13,732.77 × 5,702.97
  4. Step 4: Simplify right side
    9,952.17x = 78,317,648.21
  5. Step 5: Solve for x
    x = 78,317,648.21/9,952.17
  6. Step 6: Final answer
    x = 7,869.41

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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.