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Finding the Fourth Proportional to 6,987.57, 9,642.81 and 3,843.69

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Solution

The fourth proportional to 6,987.57, 9,642.81 and 3,843.69 is: 5,304.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,987.57 : 9,642.81 = 3,843.69 : x
  2. Step 2: Convert to fraction form
    6,987.57/9,642.81 = 3,843.69/x
  3. Step 3: Cross multiply
    6,987.57x = 9,642.81 × 3,843.69
  4. Step 4: Simplify right side
    6,987.57x = 37,063,972.37
  5. Step 5: Solve for x
    x = 37,063,972.37/6,987.57
  6. Step 6: Final answer
    x = 5,304.27

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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.