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Finding the Fourth Proportional to 6,843.85, 9,444.33 and 3,859.57

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Solution

The fourth proportional to 6,843.85, 9,444.33 and 3,859.57 is: 5,326.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,843.85 : 9,444.33 = 3,859.57 : x
  2. Step 2: Convert to fraction form
    6,843.85/9,444.33 = 3,859.57/x
  3. Step 3: Cross multiply
    6,843.85x = 9,444.33 × 3,859.57
  4. Step 4: Simplify right side
    6,843.85x = 36,451,052.74
  5. Step 5: Solve for x
    x = 36,451,052.74/6,843.85
  6. Step 6: Final answer
    x = 5,326.10

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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.