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Finding the Fourth Proportional to 6,815.70, 9,406.44 and 3,791.12

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Solution

The fourth proportional to 6,815.70, 9,406.44 and 3,791.12 is: 5,232.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,815.70 : 9,406.44 = 3,791.12 : x
  2. Step 2: Convert to fraction form
    6,815.70/9,406.44 = 3,791.12/x
  3. Step 3: Cross multiply
    6,815.70x = 9,406.44 × 3,791.12
  4. Step 4: Simplify right side
    6,815.70x = 35,660,895.78
  5. Step 5: Solve for x
    x = 35,660,895.78/6,815.70
  6. Step 6: Final answer
    x = 5,232.17

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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.