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Finding the Fourth Proportional to 6,694.33, 9,238.25 and 3,710.22

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Solution

The fourth proportional to 6,694.33, 9,238.25 and 3,710.22 is: 5,120.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,694.33 : 9,238.25 = 3,710.22 : x
  2. Step 2: Convert to fraction form
    6,694.33/9,238.25 = 3,710.22/x
  3. Step 3: Cross multiply
    6,694.33x = 9,238.25 × 3,710.22
  4. Step 4: Simplify right side
    6,694.33x = 34,275,939.92
  5. Step 5: Solve for x
    x = 34,275,939.92/6,694.33
  6. Step 6: Final answer
    x = 5,120.14

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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.