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Finding the Fourth Proportional to 6,481.35, 9,734.31 and 4,033.26

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Solution

The fourth proportional to 6,481.35, 9,734.31 and 4,033.26 is: 6,057.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481.35 : 9,734.31 = 4,033.26 : x
  2. Step 2: Convert to fraction form
    6,481.35/9,734.31 = 4,033.26/x
  3. Step 3: Cross multiply
    6,481.35x = 9,734.31 × 4,033.26
  4. Step 4: Simplify right side
    6,481.35x = 39,261,003.15
  5. Step 5: Solve for x
    x = 39,261,003.15/6,481.35
  6. Step 6: Final answer
    x = 6,057.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.