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Finding the Fourth Proportional to 6,987.72, 9,643.02 and 3,843.88

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Solution

The fourth proportional to 6,987.72, 9,643.02 and 3,843.88 is: 5,304.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,987.72 : 9,643.02 = 3,843.88 : x
  2. Step 2: Convert to fraction form
    6,987.72/9,643.02 = 3,843.88/x
  3. Step 3: Cross multiply
    6,987.72x = 9,643.02 × 3,843.88
  4. Step 4: Simplify right side
    6,987.72x = 37,066,611.72
  5. Step 5: Solve for x
    x = 37,066,611.72/6,987.72
  6. Step 6: Final answer
    x = 5,304.54

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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.