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Finding the Fourth Proportional to 9,966.27, 13,753.57 and 5,489.93

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Solution

The fourth proportional to 9,966.27, 13,753.57 and 5,489.93 is: 7,576.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,966.27 : 13,753.57 = 5,489.93 : x
  2. Step 2: Convert to fraction form
    9,966.27/13,753.57 = 5,489.93/x
  3. Step 3: Cross multiply
    9,966.27x = 13,753.57 × 5,489.93
  4. Step 4: Simplify right side
    9,966.27x = 75,506,177.80
  5. Step 5: Solve for x
    x = 75,506,177.80/9,966.27
  6. Step 6: Final answer
    x = 7,576.17

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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.