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Finding the Fourth Proportional to 6,694.74, 9,238.73 and 3,862.07

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Solution

The fourth proportional to 6,694.74, 9,238.73 and 3,862.07 is: 5,329.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,694.74 : 9,238.73 = 3,862.07 : x
  2. Step 2: Convert to fraction form
    6,694.74/9,238.73 = 3,862.07/x
  3. Step 3: Cross multiply
    6,694.74x = 9,238.73 × 3,862.07
  4. Step 4: Simplify right side
    6,694.74x = 35,680,556.47
  5. Step 5: Solve for x
    x = 35,680,556.47/6,694.74
  6. Step 6: Final answer
    x = 5,329.64

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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.