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Finding the Fourth Proportional to 6,320.34, 9,469.98 and 3,847.68

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Solution

The fourth proportional to 6,320.34, 9,469.98 and 3,847.68 is: 5,765.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,320.34 : 9,469.98 = 3,847.68 : x
  2. Step 2: Convert to fraction form
    6,320.34/9,469.98 = 3,847.68/x
  3. Step 3: Cross multiply
    6,320.34x = 9,469.98 × 3,847.68
  4. Step 4: Simplify right side
    6,320.34x = 36,437,452.65
  5. Step 5: Solve for x
    x = 36,437,452.65/6,320.34
  6. Step 6: Final answer
    x = 5,765.11

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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.