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Finding the Fourth Proportional to 8,139.66, 12,209.52 and 3,206.64

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Solution

The fourth proportional to 8,139.66, 12,209.52 and 3,206.64 is: 4,809.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,139.66 : 12,209.52 = 3,206.64 : x
  2. Step 2: Convert to fraction form
    8,139.66/12,209.52 = 3,206.64/x
  3. Step 3: Cross multiply
    8,139.66x = 12,209.52 × 3,206.64
  4. Step 4: Simplify right side
    8,139.66x = 39,151,535.21
  5. Step 5: Solve for x
    x = 39,151,535.21/8,139.66
  6. Step 6: Final answer
    x = 4,809.97

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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.