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Finding the Fourth Proportional to 8,516.43, 12,762.99 and 6,434.73

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Solution

The fourth proportional to 8,516.43, 12,762.99 and 6,434.73 is: 9,643.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,516.43 : 12,762.99 = 6,434.73 : x
  2. Step 2: Convert to fraction form
    8,516.43/12,762.99 = 6,434.73/x
  3. Step 3: Cross multiply
    8,516.43x = 12,762.99 × 6,434.73
  4. Step 4: Simplify right side
    8,516.43x = 82,126,394.64
  5. Step 5: Solve for x
    x = 82,126,394.64/8,516.43
  6. Step 6: Final answer
    x = 9,643.29

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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.