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Finding the Fourth Proportional to 8,469.29, 12,706.99 and 4,516.38

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Solution

The fourth proportional to 8,469.29, 12,706.99 and 4,516.38 is: 6,776.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,469.29 : 12,706.99 = 4,516.38 : x
  2. Step 2: Convert to fraction form
    8,469.29/12,706.99 = 4,516.38/x
  3. Step 3: Cross multiply
    8,469.29x = 12,706.99 × 4,516.38
  4. Step 4: Simplify right side
    8,469.29x = 57,389,584.21
  5. Step 5: Solve for x
    x = 57,389,584.21/8,469.29
  6. Step 6: Final answer
    x = 6,776.20

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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.