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Finding the Fourth Proportional to 8,301.80, 12,429.30 and 6,456.20

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Solution

The fourth proportional to 8,301.80, 12,429.30 and 6,456.20 is: 9,666.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,301.80 : 12,429.30 = 6,456.20 : x
  2. Step 2: Convert to fraction form
    8,301.80/12,429.30 = 6,456.20/x
  3. Step 3: Cross multiply
    8,301.80x = 12,429.30 × 6,456.20
  4. Step 4: Simplify right side
    8,301.80x = 80,246,046.66
  5. Step 5: Solve for x
    x = 80,246,046.66/8,301.80
  6. Step 6: Final answer
    x = 9,666.10

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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.