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Finding the Fourth Proportional to 6,500.20, 9,750.30 and 3,213.80

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Solution

The fourth proportional to 6,500.20, 9,750.30 and 3,213.80 is: 4,820.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.20 : 9,750.30 = 3,213.80 : x
  2. Step 2: Convert to fraction form
    6,500.20/9,750.30 = 3,213.80/x
  3. Step 3: Cross multiply
    6,500.20x = 9,750.30 × 3,213.80
  4. Step 4: Simplify right side
    6,500.20x = 31,335,514.14
  5. Step 5: Solve for x
    x = 31,335,514.14/6,500.20
  6. Step 6: Final answer
    x = 4,820.70

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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.