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Finding the Fourth Proportional to 6,987.25, 9,642.56 and 3,843.44

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Solution

The fourth proportional to 6,987.25, 9,642.56 and 3,843.44 is: 5,304.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,987.25 : 9,642.56 = 3,843.44 : x
  2. Step 2: Convert to fraction form
    6,987.25/9,642.56 = 3,843.44/x
  3. Step 3: Cross multiply
    6,987.25x = 9,642.56 × 3,843.44
  4. Step 4: Simplify right side
    6,987.25x = 37,060,600.81
  5. Step 5: Solve for x
    x = 37,060,600.81/6,987.25
  6. Step 6: Final answer
    x = 5,304.03

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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.