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Finding the Fourth Proportional to 8,462.43, 12,693.56 and 3,264.66

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Solution

The fourth proportional to 8,462.43, 12,693.56 and 3,264.66 is: 4,896.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462.43 : 12,693.56 = 3,264.66 : x
  2. Step 2: Convert to fraction form
    8,462.43/12,693.56 = 3,264.66/x
  3. Step 3: Cross multiply
    8,462.43x = 12,693.56 × 3,264.66
  4. Step 4: Simplify right side
    8,462.43x = 41,440,141.27
  5. Step 5: Solve for x
    x = 41,440,141.27/8,462.43
  6. Step 6: Final answer
    x = 4,896.96

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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.