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Finding the Fourth Proportional to 8,309.97, 12,467.39 and 2,466.73

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Solution

The fourth proportional to 8,309.97, 12,467.39 and 2,466.73 is: 3,700.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.97 : 12,467.39 = 2,466.73 : x
  2. Step 2: Convert to fraction form
    8,309.97/12,467.39 = 2,466.73/x
  3. Step 3: Cross multiply
    8,309.97x = 12,467.39 × 2,466.73
  4. Step 4: Simplify right side
    8,309.97x = 30,753,688.19
  5. Step 5: Solve for x
    x = 30,753,688.19/8,309.97
  6. Step 6: Final answer
    x = 3,700.82

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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.