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Finding the Fourth Proportional to 6,535.42, 9,794.62 and 2,635.27

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Solution

The fourth proportional to 6,535.42, 9,794.62 and 2,635.27 is: 3,949.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.42 : 9,794.62 = 2,635.27 : x
  2. Step 2: Convert to fraction form
    6,535.42/9,794.62 = 2,635.27/x
  3. Step 3: Cross multiply
    6,535.42x = 9,794.62 × 2,635.27
  4. Step 4: Simplify right side
    6,535.42x = 25,811,447.05
  5. Step 5: Solve for x
    x = 25,811,447.05/6,535.42
  6. Step 6: Final answer
    x = 3,949.47

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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.