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Finding the Fourth Proportional to 6,743.31, 9,305.85 and 3,911.34

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Solution

The fourth proportional to 6,743.31, 9,305.85 and 3,911.34 is: 5,397.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,743.31 : 9,305.85 = 3,911.34 : x
  2. Step 2: Convert to fraction form
    6,743.31/9,305.85 = 3,911.34/x
  3. Step 3: Cross multiply
    6,743.31x = 9,305.85 × 3,911.34
  4. Step 4: Simplify right side
    6,743.31x = 36,398,343.34
  5. Step 5: Solve for x
    x = 36,398,343.34/6,743.31
  6. Step 6: Final answer
    x = 5,397.70

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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.