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Finding the Fourth Proportional to 6,843.80, 9,443.66 and 3,859.76

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Solution

The fourth proportional to 6,843.80, 9,443.66 and 3,859.76 is: 5,326.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,843.80 : 9,443.66 = 3,859.76 : x
  2. Step 2: Convert to fraction form
    6,843.80/9,443.66 = 3,859.76/x
  3. Step 3: Cross multiply
    6,843.80x = 9,443.66 × 3,859.76
  4. Step 4: Simplify right side
    6,843.80x = 36,450,261.12
  5. Step 5: Solve for x
    x = 36,450,261.12/6,843.80
  6. Step 6: Final answer
    x = 5,326.03

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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.