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Finding the Fourth Proportional to 6,221.82, 9,326.68 and 3,994.38

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Solution

The fourth proportional to 6,221.82, 9,326.68 and 3,994.38 is: 5,987.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,221.82 : 9,326.68 = 3,994.38 : x
  2. Step 2: Convert to fraction form
    6,221.82/9,326.68 = 3,994.38/x
  3. Step 3: Cross multiply
    6,221.82x = 9,326.68 × 3,994.38
  4. Step 4: Simplify right side
    6,221.82x = 37,254,304.06
  5. Step 5: Solve for x
    x = 37,254,304.06/6,221.82
  6. Step 6: Final answer
    x = 5,987.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.