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Finding the Fourth Proportional to 6,739.96, 9,301.04 and 3,755.78

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Solution

The fourth proportional to 6,739.96, 9,301.04 and 3,755.78 is: 5,182.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,739.96 : 9,301.04 = 3,755.78 : x
  2. Step 2: Convert to fraction form
    6,739.96/9,301.04 = 3,755.78/x
  3. Step 3: Cross multiply
    6,739.96x = 9,301.04 × 3,755.78
  4. Step 4: Simplify right side
    6,739.96x = 34,932,660.01
  5. Step 5: Solve for x
    x = 34,932,660.01/6,739.96
  6. Step 6: Final answer
    x = 5,182.92

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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.