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Finding the Fourth Proportional to 9,138.72, 13,708.94 and 2,564.88

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Solution

The fourth proportional to 9,138.72, 13,708.94 and 2,564.88 is: 3,847.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.72 : 13,708.94 = 2,564.88 : x
  2. Step 2: Convert to fraction form
    9,138.72/13,708.94 = 2,564.88/x
  3. Step 3: Cross multiply
    9,138.72x = 13,708.94 × 2,564.88
  4. Step 4: Simplify right side
    9,138.72x = 35,161,773.20
  5. Step 5: Solve for x
    x = 35,161,773.20/9,138.72
  6. Step 6: Final answer
    x = 3,847.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.