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Finding the Fourth Proportional to 6,243.38, 9,370.74 and 3,324.14

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Solution

The fourth proportional to 6,243.38, 9,370.74 and 3,324.14 is: 4,989.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,243.38 : 9,370.74 = 3,324.14 : x
  2. Step 2: Convert to fraction form
    6,243.38/9,370.74 = 3,324.14/x
  3. Step 3: Cross multiply
    6,243.38x = 9,370.74 × 3,324.14
  4. Step 4: Simplify right side
    6,243.38x = 31,149,651.66
  5. Step 5: Solve for x
    x = 31,149,651.66/6,243.38
  6. Step 6: Final answer
    x = 4,989.23

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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.