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Finding the Fourth Proportional to 9,151.27, 13,730.32 and 3,608.48

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Solution

The fourth proportional to 9,151.27, 13,730.32 and 3,608.48 is: 5,414.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,151.27 : 13,730.32 = 3,608.48 : x
  2. Step 2: Convert to fraction form
    9,151.27/13,730.32 = 3,608.48/x
  3. Step 3: Cross multiply
    9,151.27x = 13,730.32 × 3,608.48
  4. Step 4: Simplify right side
    9,151.27x = 49,545,542.21
  5. Step 5: Solve for x
    x = 49,545,542.21/9,151.27
  6. Step 6: Final answer
    x = 5,414.06

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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.