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Finding the Fourth Proportional to 6,743.72, 9,305.75 and 3,759.50

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Solution

The fourth proportional to 6,743.72, 9,305.75 and 3,759.50 is: 5,187.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,743.72 : 9,305.75 = 3,759.50 : x
  2. Step 2: Convert to fraction form
    6,743.72/9,305.75 = 3,759.50/x
  3. Step 3: Cross multiply
    6,743.72x = 9,305.75 × 3,759.50
  4. Step 4: Simplify right side
    6,743.72x = 34,984,999.79
  5. Step 5: Solve for x
    x = 34,984,999.79/6,743.72
  6. Step 6: Final answer
    x = 5,187.79

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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.