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Finding the Fourth Proportional to 6,162.75, 9,241.38 and 3,822.66

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Solution

The fourth proportional to 6,162.75, 9,241.38 and 3,822.66 is: 5,732.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,162.75 : 9,241.38 = 3,822.66 : x
  2. Step 2: Convert to fraction form
    6,162.75/9,241.38 = 3,822.66/x
  3. Step 3: Cross multiply
    6,162.75x = 9,241.38 × 3,822.66
  4. Step 4: Simplify right side
    6,162.75x = 35,326,609.31
  5. Step 5: Solve for x
    x = 35,326,609.31/6,162.75
  6. Step 6: Final answer
    x = 5,732.28

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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.