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Finding the Fourth Proportional to 8,139.20, 12,206.40 and 3,207.20

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Solution

The fourth proportional to 8,139.20, 12,206.40 and 3,207.20 is: 4,809.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,139.20 : 12,206.40 = 3,207.20 : x
  2. Step 2: Convert to fraction form
    8,139.20/12,206.40 = 3,207.20/x
  3. Step 3: Cross multiply
    8,139.20x = 12,206.40 × 3,207.20
  4. Step 4: Simplify right side
    8,139.20x = 39,148,366.08
  5. Step 5: Solve for x
    x = 39,148,366.08/8,139.20
  6. Step 6: Final answer
    x = 4,809.85

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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.