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Finding the Fourth Proportional to 6,781.56, 9,351.42 and 5,016.84

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Solution

The fourth proportional to 6,781.56, 9,351.42 and 5,016.84 is: 6,917.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,781.56 : 9,351.42 = 5,016.84 : x
  2. Step 2: Convert to fraction form
    6,781.56/9,351.42 = 5,016.84/x
  3. Step 3: Cross multiply
    6,781.56x = 9,351.42 × 5,016.84
  4. Step 4: Simplify right side
    6,781.56x = 46,914,577.91
  5. Step 5: Solve for x
    x = 46,914,577.91/6,781.56
  6. Step 6: Final answer
    x = 6,917.96

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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.