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Finding the Fourth Proportional to 6,791.12, 9,371.83 and 4,138.77

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Solution

The fourth proportional to 6,791.12, 9,371.83 and 4,138.77 is: 5,711.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,791.12 : 9,371.83 = 4,138.77 : x
  2. Step 2: Convert to fraction form
    6,791.12/9,371.83 = 4,138.77/x
  3. Step 3: Cross multiply
    6,791.12x = 9,371.83 × 4,138.77
  4. Step 4: Simplify right side
    6,791.12x = 38,787,838.50
  5. Step 5: Solve for x
    x = 38,787,838.50/6,791.12
  6. Step 6: Final answer
    x = 5,711.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.