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Finding the Fourth Proportional to 6,139.20, 9,208.86 and 3,364.36

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Solution

The fourth proportional to 6,139.20, 9,208.86 and 3,364.36 is: 5,046.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,139.20 : 9,208.86 = 3,364.36 : x
  2. Step 2: Convert to fraction form
    6,139.20/9,208.86 = 3,364.36/x
  3. Step 3: Cross multiply
    6,139.20x = 9,208.86 × 3,364.36
  4. Step 4: Simplify right side
    6,139.20x = 30,981,920.23
  5. Step 5: Solve for x
    x = 30,981,920.23/6,139.20
  6. Step 6: Final answer
    x = 5,046.57

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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.