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Finding the Fourth Proportional to 6,077.26, 9,112.76 and 2,787.49

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Solution

The fourth proportional to 6,077.26, 9,112.76 and 2,787.49 is: 4,179.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,077.26 : 9,112.76 = 2,787.49 : x
  2. Step 2: Convert to fraction form
    6,077.26/9,112.76 = 2,787.49/x
  3. Step 3: Cross multiply
    6,077.26x = 9,112.76 × 2,787.49
  4. Step 4: Simplify right side
    6,077.26x = 25,401,727.37
  5. Step 5: Solve for x
    x = 25,401,727.37/6,077.26
  6. Step 6: Final answer
    x = 4,179.80

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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.