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Finding the Fourth Proportional to 6,964.91, 9,611.57 and 3,821.09

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Solution

The fourth proportional to 6,964.91, 9,611.57 and 3,821.09 is: 5,273.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,964.91 : 9,611.57 = 3,821.09 : x
  2. Step 2: Convert to fraction form
    6,964.91/9,611.57 = 3,821.09/x
  3. Step 3: Cross multiply
    6,964.91x = 9,611.57 × 3,821.09
  4. Step 4: Simplify right side
    6,964.91x = 36,726,654.91
  5. Step 5: Solve for x
    x = 36,726,654.91/6,964.91
  6. Step 6: Final answer
    x = 5,273.10

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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.