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Finding the Fourth Proportional to 6,107.26, 9,153.81 and 2,813.43

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Solution

The fourth proportional to 6,107.26, 9,153.81 and 2,813.43 is: 4,216.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,107.26 : 9,153.81 = 2,813.43 : x
  2. Step 2: Convert to fraction form
    6,107.26/9,153.81 = 2,813.43/x
  3. Step 3: Cross multiply
    6,107.26x = 9,153.81 × 2,813.43
  4. Step 4: Simplify right side
    6,107.26x = 25,753,589.60
  5. Step 5: Solve for x
    x = 25,753,589.60/6,107.26
  6. Step 6: Final answer
    x = 4,216.88

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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.