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Finding the Fourth Proportional to 6,706.85, 9,254.97 and 3,874.28

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Solution

The fourth proportional to 6,706.85, 9,254.97 and 3,874.28 is: 5,346.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.85 : 9,254.97 = 3,874.28 : x
  2. Step 2: Convert to fraction form
    6,706.85/9,254.97 = 3,874.28/x
  3. Step 3: Cross multiply
    6,706.85x = 9,254.97 × 3,874.28
  4. Step 4: Simplify right side
    6,706.85x = 35,856,298.90
  5. Step 5: Solve for x
    x = 35,856,298.90/6,706.85
  6. Step 6: Final answer
    x = 5,346.22

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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.