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Finding the Fourth Proportional to 6,791.45, 9,371.97 and 3,807.14

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Solution

The fourth proportional to 6,791.45, 9,371.97 and 3,807.14 is: 5,253.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,791.45 : 9,371.97 = 3,807.14 : x
  2. Step 2: Convert to fraction form
    6,791.45/9,371.97 = 3,807.14/x
  3. Step 3: Cross multiply
    6,791.45x = 9,371.97 × 3,807.14
  4. Step 4: Simplify right side
    6,791.45x = 35,680,355.01
  5. Step 5: Solve for x
    x = 35,680,355.01/6,791.45
  6. Step 6: Final answer
    x = 5,253.72

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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.