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Finding the Fourth Proportional to 8,205.28, 12,304.86 and 6,453.70

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Solution

The fourth proportional to 8,205.28, 12,304.86 and 6,453.70 is: 9,678.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205.28 : 12,304.86 = 6,453.70 : x
  2. Step 2: Convert to fraction form
    8,205.28/12,304.86 = 6,453.70/x
  3. Step 3: Cross multiply
    8,205.28x = 12,304.86 × 6,453.70
  4. Step 4: Simplify right side
    8,205.28x = 79,411,874.98
  5. Step 5: Solve for x
    x = 79,411,874.98/8,205.28
  6. Step 6: Final answer
    x = 9,678.14

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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.