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Finding the Fourth Proportional to 9,154.32, 13,753.32 and 5,873.80

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Solution

The fourth proportional to 9,154.32, 13,753.32 and 5,873.80 is: 8,824.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,154.32 : 13,753.32 = 5,873.80 : x
  2. Step 2: Convert to fraction form
    9,154.32/13,753.32 = 5,873.80/x
  3. Step 3: Cross multiply
    9,154.32x = 13,753.32 × 5,873.80
  4. Step 4: Simplify right side
    9,154.32x = 80,784,251.02
  5. Step 5: Solve for x
    x = 80,784,251.02/9,154.32
  6. Step 6: Final answer
    x = 8,824.71

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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.