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Finding the Fourth Proportional to 6,494.96, 8,964.20 and 3,843.83

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Solution

The fourth proportional to 6,494.96, 8,964.20 and 3,843.83 is: 5,305.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.96 : 8,964.20 = 3,843.83 : x
  2. Step 2: Convert to fraction form
    6,494.96/8,964.20 = 3,843.83/x
  3. Step 3: Cross multiply
    6,494.96x = 8,964.20 × 3,843.83
  4. Step 4: Simplify right side
    6,494.96x = 34,456,860.89
  5. Step 5: Solve for x
    x = 34,456,860.89/6,494.96
  6. Step 6: Final answer
    x = 5,305.17

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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.