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Finding the Fourth Proportional to 6,706.24, 9,254.52 and 3,722.08

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Solution

The fourth proportional to 6,706.24, 9,254.52 and 3,722.08 is: 5,136.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.24 : 9,254.52 = 3,722.08 : x
  2. Step 2: Convert to fraction form
    6,706.24/9,254.52 = 3,722.08/x
  3. Step 3: Cross multiply
    6,706.24x = 9,254.52 × 3,722.08
  4. Step 4: Simplify right side
    6,706.24x = 34,446,063.80
  5. Step 5: Solve for x
    x = 34,446,063.80/6,706.24
  6. Step 6: Final answer
    x = 5,136.42

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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.