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Finding the Fourth Proportional to 6,843.69, 9,444.06 and 3,859.25

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Solution

The fourth proportional to 6,843.69, 9,444.06 and 3,859.25 is: 5,325.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,843.69 : 9,444.06 = 3,859.25 : x
  2. Step 2: Convert to fraction form
    6,843.69/9,444.06 = 3,859.25/x
  3. Step 3: Cross multiply
    6,843.69x = 9,444.06 × 3,859.25
  4. Step 4: Simplify right side
    6,843.69x = 36,446,941.33
  5. Step 5: Solve for x
    x = 36,446,941.33/6,843.69
  6. Step 6: Final answer
    x = 5,325.63

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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.