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Finding the Fourth Proportional to 6,076.77, 9,109.68 and 2,180.26

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Solution

The fourth proportional to 6,076.77, 9,109.68 and 2,180.26 is: 3,268.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,076.77 : 9,109.68 = 2,180.26 : x
  2. Step 2: Convert to fraction form
    6,076.77/9,109.68 = 2,180.26/x
  3. Step 3: Cross multiply
    6,076.77x = 9,109.68 × 2,180.26
  4. Step 4: Simplify right side
    6,076.77x = 19,861,470.92
  5. Step 5: Solve for x
    x = 19,861,470.92/6,076.77
  6. Step 6: Final answer
    x = 3,268.43

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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.