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Finding the Fourth Proportional to 6,481.44, 8,942.04 and 3,828.96

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Solution

The fourth proportional to 6,481.44, 8,942.04 and 3,828.96 is: 5,282.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481.44 : 8,942.04 = 3,828.96 : x
  2. Step 2: Convert to fraction form
    6,481.44/8,942.04 = 3,828.96/x
  3. Step 3: Cross multiply
    6,481.44x = 8,942.04 × 3,828.96
  4. Step 4: Simplify right side
    6,481.44x = 34,238,713.48
  5. Step 5: Solve for x
    x = 34,238,713.48/6,481.44
  6. Step 6: Final answer
    x = 5,282.58

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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.