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Finding the Fourth Proportional to 6,469.57, 9,706.82 and 2,576.71

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Solution

The fourth proportional to 6,469.57, 9,706.82 and 2,576.71 is: 3,866.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469.57 : 9,706.82 = 2,576.71 : x
  2. Step 2: Convert to fraction form
    6,469.57/9,706.82 = 2,576.71/x
  3. Step 3: Cross multiply
    6,469.57x = 9,706.82 × 2,576.71
  4. Step 4: Simplify right side
    6,469.57x = 25,011,647.28
  5. Step 5: Solve for x
    x = 25,011,647.28/6,469.57
  6. Step 6: Final answer
    x = 3,866.04

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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.