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Finding the Fourth Proportional to 6,862.05, 9,469.82 and 3,877.82

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Solution

The fourth proportional to 6,862.05, 9,469.82 and 3,877.82 is: 5,351.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,862.05 : 9,469.82 = 3,877.82 : x
  2. Step 2: Convert to fraction form
    6,862.05/9,469.82 = 3,877.82/x
  3. Step 3: Cross multiply
    6,862.05x = 9,469.82 × 3,877.82
  4. Step 4: Simplify right side
    6,862.05x = 36,722,190.65
  5. Step 5: Solve for x
    x = 36,722,190.65/6,862.05
  6. Step 6: Final answer
    x = 5,351.49

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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.