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Finding the Fourth Proportional to 9,363.68, 12,924.24 and 6,175.52

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Solution

The fourth proportional to 9,363.68, 12,924.24 and 6,175.52 is: 8,523.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,363.68 : 12,924.24 = 6,175.52 : x
  2. Step 2: Convert to fraction form
    9,363.68/12,924.24 = 6,175.52/x
  3. Step 3: Cross multiply
    9,363.68x = 12,924.24 × 6,175.52
  4. Step 4: Simplify right side
    9,363.68x = 79,813,902.60
  5. Step 5: Solve for x
    x = 79,813,902.60/9,363.68
  6. Step 6: Final answer
    x = 8,523.78

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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.