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Finding the Fourth Proportional to 6,676.49, 9,214.24 and 3,843.97

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Solution

The fourth proportional to 6,676.49, 9,214.24 and 3,843.97 is: 5,305.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,676.49 : 9,214.24 = 3,843.97 : x
  2. Step 2: Convert to fraction form
    6,676.49/9,214.24 = 3,843.97/x
  3. Step 3: Cross multiply
    6,676.49x = 9,214.24 × 3,843.97
  4. Step 4: Simplify right side
    6,676.49x = 35,419,262.13
  5. Step 5: Solve for x
    x = 35,419,262.13/6,676.49
  6. Step 6: Final answer
    x = 5,305.07

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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.