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Finding the Fourth Proportional to 6,986.97, 9,642.02 and 3,843.14

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Solution

The fourth proportional to 6,986.97, 9,642.02 and 3,843.14 is: 5,303.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,986.97 : 9,642.02 = 3,843.14 : x
  2. Step 2: Convert to fraction form
    6,986.97/9,642.02 = 3,843.14/x
  3. Step 3: Cross multiply
    6,986.97x = 9,642.02 × 3,843.14
  4. Step 4: Simplify right side
    6,986.97x = 37,055,565.32
  5. Step 5: Solve for x
    x = 37,055,565.32/6,986.97
  6. Step 6: Final answer
    x = 5,303.52

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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.