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Finding the Fourth Proportional to 9,102.87, 12,562.20 and 5,564.79

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Solution

The fourth proportional to 9,102.87, 12,562.20 and 5,564.79 is: 7,679.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102.87 : 12,562.20 = 5,564.79 : x
  2. Step 2: Convert to fraction form
    9,102.87/12,562.20 = 5,564.79/x
  3. Step 3: Cross multiply
    9,102.87x = 12,562.20 × 5,564.79
  4. Step 4: Simplify right side
    9,102.87x = 69,906,004.94
  5. Step 5: Solve for x
    x = 69,906,004.94/9,102.87
  6. Step 6: Final answer
    x = 7,679.56

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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.