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Finding the Fourth Proportional to 6,706.71, 9,255.09 and 3,722.47

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Solution

The fourth proportional to 6,706.71, 9,255.09 and 3,722.47 is: 5,136.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.71 : 9,255.09 = 3,722.47 : x
  2. Step 2: Convert to fraction form
    6,706.71/9,255.09 = 3,722.47/x
  3. Step 3: Cross multiply
    6,706.71x = 9,255.09 × 3,722.47
  4. Step 4: Simplify right side
    6,706.71x = 34,451,776.26
  5. Step 5: Solve for x
    x = 34,451,776.26/6,706.71
  6. Step 6: Final answer
    x = 5,136.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.