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Finding the Fourth Proportional to 6,747.49, 9,311.37 and 3,763.31

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Solution

The fourth proportional to 6,747.49, 9,311.37 and 3,763.31 is: 5,193.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,747.49 : 9,311.37 = 3,763.31 : x
  2. Step 2: Convert to fraction form
    6,747.49/9,311.37 = 3,763.31/x
  3. Step 3: Cross multiply
    6,747.49x = 9,311.37 × 3,763.31
  4. Step 4: Simplify right side
    6,747.49x = 35,041,571.83
  5. Step 5: Solve for x
    x = 35,041,571.83/6,747.49
  6. Step 6: Final answer
    x = 5,193.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.