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Finding the Fourth Proportional to 9,268.52, 13,908.24 and 3,429.20

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Solution

The fourth proportional to 9,268.52, 13,908.24 and 3,429.20 is: 5,145.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,268.52 : 13,908.24 = 3,429.20 : x
  2. Step 2: Convert to fraction form
    9,268.52/13,908.24 = 3,429.20/x
  3. Step 3: Cross multiply
    9,268.52x = 13,908.24 × 3,429.20
  4. Step 4: Simplify right side
    9,268.52x = 47,694,136.61
  5. Step 5: Solve for x
    x = 47,694,136.61/9,268.52
  6. Step 6: Final answer
    x = 5,145.82

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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.