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Finding the Fourth Proportional to 9,939.66, 13,718 and 5,747.92

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Solution

The fourth proportional to 9,939.66, 13,718 and 5,747.92 is: 7,932.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,939.66 : 13,718 = 5,747.92 : x
  2. Step 2: Convert to fraction form
    9,939.66/13,718 = 5,747.92/x
  3. Step 3: Cross multiply
    9,939.66x = 13,718 × 5,747.92
  4. Step 4: Simplify right side
    9,939.66x = 78,849,966.56
  5. Step 5: Solve for x
    x = 78,849,966.56/9,939.66
  6. Step 6: Final answer
    x = 7,932.86

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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.