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Finding the Fourth Proportional to 6,186.10, 9,279.68 and 3,414.68

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Solution

The fourth proportional to 6,186.10, 9,279.68 and 3,414.68 is: 5,122.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,186.10 : 9,279.68 = 3,414.68 : x
  2. Step 2: Convert to fraction form
    6,186.10/9,279.68 = 3,414.68/x
  3. Step 3: Cross multiply
    6,186.10x = 9,279.68 × 3,414.68
  4. Step 4: Simplify right side
    6,186.10x = 31,687,137.70
  5. Step 5: Solve for x
    x = 31,687,137.70/6,186.10
  6. Step 6: Final answer
    x = 5,122.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.