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Finding the Fourth Proportional to 9,161.52, 12,642.90 and 5,182.55

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Solution

The fourth proportional to 9,161.52, 12,642.90 and 5,182.55 is: 7,151.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,161.52 : 12,642.90 = 5,182.55 : x
  2. Step 2: Convert to fraction form
    9,161.52/12,642.90 = 5,182.55/x
  3. Step 3: Cross multiply
    9,161.52x = 12,642.90 × 5,182.55
  4. Step 4: Simplify right side
    9,161.52x = 65,522,398.18
  5. Step 5: Solve for x
    x = 65,522,398.18/9,161.52
  6. Step 6: Final answer
    x = 7,151.91

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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.