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Finding the Fourth Proportional to 6,205.20, 9,318.60 and 3,289.20

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Solution

The fourth proportional to 6,205.20, 9,318.60 and 3,289.20 is: 4,939.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.20 : 9,318.60 = 3,289.20 : x
  2. Step 2: Convert to fraction form
    6,205.20/9,318.60 = 3,289.20/x
  3. Step 3: Cross multiply
    6,205.20x = 9,318.60 × 3,289.20
  4. Step 4: Simplify right side
    6,205.20x = 30,650,739.12
  5. Step 5: Solve for x
    x = 30,650,739.12/6,205.20
  6. Step 6: Final answer
    x = 4,939.52

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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.