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Finding the Fourth Proportional to 6,868.31, 9,478.19 and 3,724.46

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Solution

The fourth proportional to 6,868.31, 9,478.19 and 3,724.46 is: 5,139.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,868.31 : 9,478.19 = 3,724.46 : x
  2. Step 2: Convert to fraction form
    6,868.31/9,478.19 = 3,724.46/x
  3. Step 3: Cross multiply
    6,868.31x = 9,478.19 × 3,724.46
  4. Step 4: Simplify right side
    6,868.31x = 35,301,120.91
  5. Step 5: Solve for x
    x = 35,301,120.91/6,868.31
  6. Step 6: Final answer
    x = 5,139.71

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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.