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Finding the Fourth Proportional to 6,744.39, 9,284.72 and 5,062.96

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Solution

The fourth proportional to 6,744.39, 9,284.72 and 5,062.96 is: 6,969.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,744.39 : 9,284.72 = 5,062.96 : x
  2. Step 2: Convert to fraction form
    6,744.39/9,284.72 = 5,062.96/x
  3. Step 3: Cross multiply
    6,744.39x = 9,284.72 × 5,062.96
  4. Step 4: Simplify right side
    6,744.39x = 47,008,165.97
  5. Step 5: Solve for x
    x = 47,008,165.97/6,744.39
  6. Step 6: Final answer
    x = 6,969.97

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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.