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Finding the Fourth Proportional to 9,966.49, 13,753.04 and 5,489.98

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Solution

The fourth proportional to 9,966.49, 13,753.04 and 5,489.98 is: 7,575.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,966.49 : 13,753.04 = 5,489.98 : x
  2. Step 2: Convert to fraction form
    9,966.49/13,753.04 = 5,489.98/x
  3. Step 3: Cross multiply
    9,966.49x = 13,753.04 × 5,489.98
  4. Step 4: Simplify right side
    9,966.49x = 75,503,883.59
  5. Step 5: Solve for x
    x = 75,503,883.59/9,966.49
  6. Step 6: Final answer
    x = 7,575.77

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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.