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Finding the Fourth Proportional to 9,966.58, 13,753.36 and 5,489.49

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Solution

The fourth proportional to 9,966.58, 13,753.36 and 5,489.49 is: 7,575.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,966.58 : 13,753.36 = 5,489.49 : x
  2. Step 2: Convert to fraction form
    9,966.58/13,753.36 = 5,489.49/x
  3. Step 3: Cross multiply
    9,966.58x = 13,753.36 × 5,489.49
  4. Step 4: Simplify right side
    9,966.58x = 75,498,913.26
  5. Step 5: Solve for x
    x = 75,498,913.26/9,966.58
  6. Step 6: Final answer
    x = 7,575.21

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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.