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Finding the Fourth Proportional to 8,207.36, 12,296.92 and 6,463.56

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Solution

The fourth proportional to 8,207.36, 12,296.92 and 6,463.56 is: 9,684.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,207.36 : 12,296.92 = 6,463.56 : x
  2. Step 2: Convert to fraction form
    8,207.36/12,296.92 = 6,463.56/x
  3. Step 3: Cross multiply
    8,207.36x = 12,296.92 × 6,463.56
  4. Step 4: Simplify right side
    8,207.36x = 79,481,880.24
  5. Step 5: Solve for x
    x = 79,481,880.24/8,207.36
  6. Step 6: Final answer
    x = 9,684.22

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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.