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Finding the Fourth Proportional to 6,694.91, 9,238.73 and 3,711.02

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Solution

The fourth proportional to 6,694.91, 9,238.73 and 3,711.02 is: 5,121.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,694.91 : 9,238.73 = 3,711.02 : x
  2. Step 2: Convert to fraction form
    6,694.91/9,238.73 = 3,711.02/x
  3. Step 3: Cross multiply
    6,694.91x = 9,238.73 × 3,711.02
  4. Step 4: Simplify right side
    6,694.91x = 34,285,111.80
  5. Step 5: Solve for x
    x = 34,285,111.80/6,694.91
  6. Step 6: Final answer
    x = 5,121.07

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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.