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Finding the Fourth Proportional to 9,682.11, 14,524.07 and 2,662.20

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Solution

The fourth proportional to 9,682.11, 14,524.07 and 2,662.20 is: 3,993.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.11 : 14,524.07 = 2,662.20 : x
  2. Step 2: Convert to fraction form
    9,682.11/14,524.07 = 2,662.20/x
  3. Step 3: Cross multiply
    9,682.11x = 14,524.07 × 2,662.20
  4. Step 4: Simplify right side
    9,682.11x = 38,665,965.84
  5. Step 5: Solve for x
    x = 38,665,965.84/9,682.11
  6. Step 6: Final answer
    x = 3,993.55

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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.