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Finding the Fourth Proportional to 9,932, 13,706.52 and 5,456.17

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Solution

The fourth proportional to 9,932, 13,706.52 and 5,456.17 is: 7,529.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,932 : 13,706.52 = 5,456.17 : x
  2. Step 2: Convert to fraction form
    9,932/13,706.52 = 5,456.17/x
  3. Step 3: Cross multiply
    9,932x = 13,706.52 × 5,456.17
  4. Step 4: Simplify right side
    9,932x = 74,785,103.23
  5. Step 5: Solve for x
    x = 74,785,103.23/9,932
  6. Step 6: Final answer
    x = 7,529.71

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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.