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Finding the Fourth Proportional to 6,706.89, 9,254.44 and 3,722.66

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Solution

The fourth proportional to 6,706.89, 9,254.44 and 3,722.66 is: 5,136.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.89 : 9,254.44 = 3,722.66 : x
  2. Step 2: Convert to fraction form
    6,706.89/9,254.44 = 3,722.66/x
  3. Step 3: Cross multiply
    6,706.89x = 9,254.44 × 3,722.66
  4. Step 4: Simplify right side
    6,706.89x = 34,451,133.61
  5. Step 5: Solve for x
    x = 34,451,133.61/6,706.89
  6. Step 6: Final answer
    x = 5,136.68

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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.