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Finding the Fourth Proportional to 6,078.09, 9,114.20 and 2,789.09

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Solution

The fourth proportional to 6,078.09, 9,114.20 and 2,789.09 is: 4,182.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,078.09 : 9,114.20 = 2,789.09 : x
  2. Step 2: Convert to fraction form
    6,078.09/9,114.20 = 2,789.09/x
  3. Step 3: Cross multiply
    6,078.09x = 9,114.20 × 2,789.09
  4. Step 4: Simplify right side
    6,078.09x = 25,420,324.08
  5. Step 5: Solve for x
    x = 25,420,324.08/6,078.09
  6. Step 6: Final answer
    x = 4,182.29

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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.