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Finding the Fourth Proportional to 6,139.40, 9,209.11 and 1,979.71

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Solution

The fourth proportional to 6,139.40, 9,209.11 and 1,979.71 is: 2,969.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,139.40 : 9,209.11 = 1,979.71 : x
  2. Step 2: Convert to fraction form
    6,139.40/9,209.11 = 1,979.71/x
  3. Step 3: Cross multiply
    6,139.40x = 9,209.11 × 1,979.71
  4. Step 4: Simplify right side
    6,139.40x = 18,231,339.19
  5. Step 5: Solve for x
    x = 18,231,339.19/6,139.40
  6. Step 6: Final answer
    x = 2,969.57

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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.