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Finding the Fourth Proportional to 6,139.62, 9,209.84 and 2,246.76

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Solution

The fourth proportional to 6,139.62, 9,209.84 and 2,246.76 is: 3,370.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,139.62 : 9,209.84 = 2,246.76 : x
  2. Step 2: Convert to fraction form
    6,139.62/9,209.84 = 2,246.76/x
  3. Step 3: Cross multiply
    6,139.62x = 9,209.84 × 2,246.76
  4. Step 4: Simplify right side
    6,139.62x = 20,692,288.88
  5. Step 5: Solve for x
    x = 20,692,288.88/6,139.62
  6. Step 6: Final answer
    x = 3,370.29

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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.