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Finding the Fourth Proportional to 9,600.71, 13,248.05 and 5,773.46

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Solution

The fourth proportional to 9,600.71, 13,248.05 and 5,773.46 is: 7,966.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.71 : 13,248.05 = 5,773.46 : x
  2. Step 2: Convert to fraction form
    9,600.71/13,248.05 = 5,773.46/x
  3. Step 3: Cross multiply
    9,600.71x = 13,248.05 × 5,773.46
  4. Step 4: Simplify right side
    9,600.71x = 76,487,134.31
  5. Step 5: Solve for x
    x = 76,487,134.31/9,600.71
  6. Step 6: Final answer
    x = 7,966.82

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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.