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Finding the Fourth Proportional to 6,706.07, 9,254.84 and 3,722.18

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Solution

The fourth proportional to 6,706.07, 9,254.84 and 3,722.18 is: 5,136.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.07 : 9,254.84 = 3,722.18 : x
  2. Step 2: Convert to fraction form
    6,706.07/9,254.84 = 3,722.18/x
  3. Step 3: Cross multiply
    6,706.07x = 9,254.84 × 3,722.18
  4. Step 4: Simplify right side
    6,706.07x = 34,448,115.47
  5. Step 5: Solve for x
    x = 34,448,115.47/6,706.07
  6. Step 6: Final answer
    x = 5,136.86

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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.