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Finding the Fourth Proportional to 6,205.49, 9,286.76 and 3,832.59

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Solution

The fourth proportional to 6,205.49, 9,286.76 and 3,832.59 is: 5,735.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.49 : 9,286.76 = 3,832.59 : x
  2. Step 2: Convert to fraction form
    6,205.49/9,286.76 = 3,832.59/x
  3. Step 3: Cross multiply
    6,205.49x = 9,286.76 × 3,832.59
  4. Step 4: Simplify right side
    6,205.49x = 35,592,324.35
  5. Step 5: Solve for x
    x = 35,592,324.35/6,205.49
  6. Step 6: Final answer
    x = 5,735.62

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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.