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Finding the Fourth Proportional to 6,736.75, 9,296.72 and 3,942.25

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Solution

The fourth proportional to 6,736.75, 9,296.72 and 3,942.25 is: 5,440.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,736.75 : 9,296.72 = 3,942.25 : x
  2. Step 2: Convert to fraction form
    6,736.75/9,296.72 = 3,942.25/x
  3. Step 3: Cross multiply
    6,736.75x = 9,296.72 × 3,942.25
  4. Step 4: Simplify right side
    6,736.75x = 36,649,974.71
  5. Step 5: Solve for x
    x = 36,649,974.71/6,736.75
  6. Step 6: Final answer
    x = 5,440.31

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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.