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Finding the Fourth Proportional to 6,238.20, 9,352.98 and 3,278.38

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Solution

The fourth proportional to 6,238.20, 9,352.98 and 3,278.38 is: 4,915.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,238.20 : 9,352.98 = 3,278.38 : x
  2. Step 2: Convert to fraction form
    6,238.20/9,352.98 = 3,278.38/x
  3. Step 3: Cross multiply
    6,238.20x = 9,352.98 × 3,278.38
  4. Step 4: Simplify right side
    6,238.20x = 30,662,622.57
  5. Step 5: Solve for x
    x = 30,662,622.57/6,238.20
  6. Step 6: Final answer
    x = 4,915.30

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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.