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Finding the Fourth Proportional to 8,204.78, 12,304.13 and 6,453.19

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Solution

The fourth proportional to 8,204.78, 12,304.13 and 6,453.19 is: 9,677.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,204.78 : 12,304.13 = 6,453.19 : x
  2. Step 2: Convert to fraction form
    8,204.78/12,304.13 = 6,453.19/x
  3. Step 3: Cross multiply
    8,204.78x = 12,304.13 × 6,453.19
  4. Step 4: Simplify right side
    8,204.78x = 79,400,825.65
  5. Step 5: Solve for x
    x = 79,400,825.65/8,204.78
  6. Step 6: Final answer
    x = 9,677.39

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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.