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Finding the Fourth Proportional to 6,742.96, 9,305.18 and 3,758.78

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Solution

The fourth proportional to 6,742.96, 9,305.18 and 3,758.78 is: 5,187.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,742.96 : 9,305.18 = 3,758.78 : x
  2. Step 2: Convert to fraction form
    6,742.96/9,305.18 = 3,758.78/x
  3. Step 3: Cross multiply
    6,742.96x = 9,305.18 × 3,758.78
  4. Step 4: Simplify right side
    6,742.96x = 34,976,124.48
  5. Step 5: Solve for x
    x = 34,976,124.48/6,742.96
  6. Step 6: Final answer
    x = 5,187.06

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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.