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Finding the Fourth Proportional to 8,313.31, 12,469.69 and 2,469.70

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Solution

The fourth proportional to 8,313.31, 12,469.69 and 2,469.70 is: 3,704.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,313.31 : 12,469.69 = 2,469.70 : x
  2. Step 2: Convert to fraction form
    8,313.31/12,469.69 = 2,469.70/x
  3. Step 3: Cross multiply
    8,313.31x = 12,469.69 × 2,469.70
  4. Step 4: Simplify right side
    8,313.31x = 30,796,393.39
  5. Step 5: Solve for x
    x = 30,796,393.39/8,313.31
  6. Step 6: Final answer
    x = 3,704.47

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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.