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Finding the Fourth Proportional to 6,481.44, 8,942.31 and 3,829.74

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Solution

The fourth proportional to 6,481.44, 8,942.31 and 3,829.74 is: 5,283.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481.44 : 8,942.31 = 3,829.74 : x
  2. Step 2: Convert to fraction form
    6,481.44/8,942.31 = 3,829.74/x
  3. Step 3: Cross multiply
    6,481.44x = 8,942.31 × 3,829.74
  4. Step 4: Simplify right side
    6,481.44x = 34,246,722.30
  5. Step 5: Solve for x
    x = 34,246,722.30/6,481.44
  6. Step 6: Final answer
    x = 5,283.81

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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.