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Finding the Fourth Proportional to 7,884.46, 11,808.24 and 6,229.90

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Solution

The fourth proportional to 7,884.46, 11,808.24 and 6,229.90 is: 9,330.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.46 : 11,808.24 = 6,229.90 : x
  2. Step 2: Convert to fraction form
    7,884.46/11,808.24 = 6,229.90/x
  3. Step 3: Cross multiply
    7,884.46x = 11,808.24 × 6,229.90
  4. Step 4: Simplify right side
    7,884.46x = 73,564,154.38
  5. Step 5: Solve for x
    x = 73,564,154.38/7,884.46
  6. Step 6: Final answer
    x = 9,330.27

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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.