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Finding the Fourth Proportional to 6,107.85, 9,149.43 and 2,816.40

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Solution

The fourth proportional to 6,107.85, 9,149.43 and 2,816.40 is: 4,218.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,107.85 : 9,149.43 = 2,816.40 : x
  2. Step 2: Convert to fraction form
    6,107.85/9,149.43 = 2,816.40/x
  3. Step 3: Cross multiply
    6,107.85x = 9,149.43 × 2,816.40
  4. Step 4: Simplify right side
    6,107.85x = 25,768,454.65
  5. Step 5: Solve for x
    x = 25,768,454.65/6,107.85
  6. Step 6: Final answer
    x = 4,218.91

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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.