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Finding the Fourth Proportional to 10,343.40, 15,520.62 and 9,785.88

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Solution

The fourth proportional to 10,343.40, 15,520.62 and 9,785.88 is: 14,684.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,343.40 : 15,520.62 = 9,785.88 : x
  2. Step 2: Convert to fraction form
    10,343.40/15,520.62 = 9,785.88/x
  3. Step 3: Cross multiply
    10,343.40x = 15,520.62 × 9,785.88
  4. Step 4: Simplify right side
    10,343.40x = 151,882,924.85
  5. Step 5: Solve for x
    x = 151,882,924.85/10,343.40
  6. Step 6: Final answer
    x = 14,684.04

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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.