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Finding the Fourth Proportional to 6,987.88, 9,643.26 and 3,844.06

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Solution

The fourth proportional to 6,987.88, 9,643.26 and 3,844.06 is: 5,304.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,987.88 : 9,643.26 = 3,844.06 : x
  2. Step 2: Convert to fraction form
    6,987.88/9,643.26 = 3,844.06/x
  3. Step 3: Cross multiply
    6,987.88x = 9,643.26 × 3,844.06
  4. Step 4: Simplify right side
    6,987.88x = 37,069,270.04
  5. Step 5: Solve for x
    x = 37,069,270.04/6,987.88
  6. Step 6: Final answer
    x = 5,304.79

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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.