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Finding the Fourth Proportional to 9,132.57, 13,697.60 and 3,937.77

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Solution

The fourth proportional to 9,132.57, 13,697.60 and 3,937.77 is: 5,906.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,132.57 : 13,697.60 = 3,937.77 : x
  2. Step 2: Convert to fraction form
    9,132.57/13,697.60 = 3,937.77/x
  3. Step 3: Cross multiply
    9,132.57x = 13,697.60 × 3,937.77
  4. Step 4: Simplify right side
    9,132.57x = 53,937,978.66
  5. Step 5: Solve for x
    x = 53,937,978.66/9,132.57
  6. Step 6: Final answer
    x = 5,906.11

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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.