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Finding the Fourth Proportional to 6,233.33, 9,324.37 and 5,685.90

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Solution

The fourth proportional to 6,233.33, 9,324.37 and 5,685.90 is: 8,505.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,233.33 : 9,324.37 = 5,685.90 : x
  2. Step 2: Convert to fraction form
    6,233.33/9,324.37 = 5,685.90/x
  3. Step 3: Cross multiply
    6,233.33x = 9,324.37 × 5,685.90
  4. Step 4: Simplify right side
    6,233.33x = 53,017,375.54
  5. Step 5: Solve for x
    x = 53,017,375.54/6,233.33
  6. Step 6: Final answer
    x = 8,505.47

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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.