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Finding the Fourth Proportional to 8,204.70, 12,287.85 and 6,246.30

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Solution

The fourth proportional to 8,204.70, 12,287.85 and 6,246.30 is: 9,354.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,204.70 : 12,287.85 = 6,246.30 : x
  2. Step 2: Convert to fraction form
    8,204.70/12,287.85 = 6,246.30/x
  3. Step 3: Cross multiply
    8,204.70x = 12,287.85 × 6,246.30
  4. Step 4: Simplify right side
    8,204.70x = 76,753,597.46
  5. Step 5: Solve for x
    x = 76,753,597.46/8,204.70
  6. Step 6: Final answer
    x = 9,354.83

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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.