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Finding the Fourth Proportional to 6,706.47, 9,254.91 and 3,722.73

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Solution

The fourth proportional to 6,706.47, 9,254.91 and 3,722.73 is: 5,137.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.47 : 9,254.91 = 3,722.73 : x
  2. Step 2: Convert to fraction form
    6,706.47/9,254.91 = 3,722.73/x
  3. Step 3: Cross multiply
    6,706.47x = 9,254.91 × 3,722.73
  4. Step 4: Simplify right side
    6,706.47x = 34,453,531.10
  5. Step 5: Solve for x
    x = 34,453,531.10/6,706.47
  6. Step 6: Final answer
    x = 5,137.36

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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.