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Finding the Fourth Proportional to 6,939.67, 9,576.92 and 3,796.09

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Solution

The fourth proportional to 6,939.67, 9,576.92 and 3,796.09 is: 5,238.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,939.67 : 9,576.92 = 3,796.09 : x
  2. Step 2: Convert to fraction form
    6,939.67/9,576.92 = 3,796.09/x
  3. Step 3: Cross multiply
    6,939.67x = 9,576.92 × 3,796.09
  4. Step 4: Simplify right side
    6,939.67x = 36,354,850.24
  5. Step 5: Solve for x
    x = 36,354,850.24/6,939.67
  6. Step 6: Final answer
    x = 5,238.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.