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Finding the Fourth Proportional to 8,313.42, 12,469.98 and 3,934.02

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Solution

The fourth proportional to 8,313.42, 12,469.98 and 3,934.02 is: 5,900.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,313.42 : 12,469.98 = 3,934.02 : x
  2. Step 2: Convert to fraction form
    8,313.42/12,469.98 = 3,934.02/x
  3. Step 3: Cross multiply
    8,313.42x = 12,469.98 × 3,934.02
  4. Step 4: Simplify right side
    8,313.42x = 49,057,150.72
  5. Step 5: Solve for x
    x = 49,057,150.72/8,313.42
  6. Step 6: Final answer
    x = 5,900.96

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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.