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Finding the Fourth Proportional to 6,340.52, 9,508.34 and 3,217.98

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Solution

The fourth proportional to 6,340.52, 9,508.34 and 3,217.98 is: 4,825.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,340.52 : 9,508.34 = 3,217.98 : x
  2. Step 2: Convert to fraction form
    6,340.52/9,508.34 = 3,217.98/x
  3. Step 3: Cross multiply
    6,340.52x = 9,508.34 × 3,217.98
  4. Step 4: Simplify right side
    6,340.52x = 30,597,647.95
  5. Step 5: Solve for x
    x = 30,597,647.95/6,340.52
  6. Step 6: Final answer
    x = 4,825.73

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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.