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Finding the Fourth Proportional to 6,229.20, 9,354.60 and 3,313.20

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Solution

The fourth proportional to 6,229.20, 9,354.60 and 3,313.20 is: 4,975.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,229.20 : 9,354.60 = 3,313.20 : x
  2. Step 2: Convert to fraction form
    6,229.20/9,354.60 = 3,313.20/x
  3. Step 3: Cross multiply
    6,229.20x = 9,354.60 × 3,313.20
  4. Step 4: Simplify right side
    6,229.20x = 30,993,660.72
  5. Step 5: Solve for x
    x = 30,993,660.72/6,229.20
  6. Step 6: Final answer
    x = 4,975.54

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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.