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Finding the Fourth Proportional to 9,642.52, 14,458.38 and 3,797.56

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Solution

The fourth proportional to 9,642.52, 14,458.38 and 3,797.56 is: 5,694.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.52 : 14,458.38 = 3,797.56 : x
  2. Step 2: Convert to fraction form
    9,642.52/14,458.38 = 3,797.56/x
  3. Step 3: Cross multiply
    9,642.52x = 14,458.38 × 3,797.56
  4. Step 4: Simplify right side
    9,642.52x = 54,906,565.55
  5. Step 5: Solve for x
    x = 54,906,565.55/9,642.52
  6. Step 6: Final answer
    x = 5,694.21

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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.