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Finding the Fourth Proportional to 6,862.25, 9,469.87 and 3,718.44

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Solution

The fourth proportional to 6,862.25, 9,469.87 and 3,718.44 is: 5,131.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,862.25 : 9,469.87 = 3,718.44 : x
  2. Step 2: Convert to fraction form
    6,862.25/9,469.87 = 3,718.44/x
  3. Step 3: Cross multiply
    6,862.25x = 9,469.87 × 3,718.44
  4. Step 4: Simplify right side
    6,862.25x = 35,213,134.11
  5. Step 5: Solve for x
    x = 35,213,134.11/6,862.25
  6. Step 6: Final answer
    x = 5,131.43

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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.