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Finding the Fourth Proportional to 9,282.88, 13,924.32 and 3,432.64

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Solution

The fourth proportional to 9,282.88, 13,924.32 and 3,432.64 is: 5,148.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,282.88 : 13,924.32 = 3,432.64 : x
  2. Step 2: Convert to fraction form
    9,282.88/13,924.32 = 3,432.64/x
  3. Step 3: Cross multiply
    9,282.88x = 13,924.32 × 3,432.64
  4. Step 4: Simplify right side
    9,282.88x = 47,797,177.80
  5. Step 5: Solve for x
    x = 47,797,177.80/9,282.88
  6. Step 6: Final answer
    x = 5,148.96

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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.