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Finding the Fourth Proportional to 9,682.96, 14,524.14 and 2,757.46

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Solution

The fourth proportional to 9,682.96, 14,524.14 and 2,757.46 is: 4,136.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.96 : 14,524.14 = 2,757.46 : x
  2. Step 2: Convert to fraction form
    9,682.96/14,524.14 = 2,757.46/x
  3. Step 3: Cross multiply
    9,682.96x = 14,524.14 × 2,757.46
  4. Step 4: Simplify right side
    9,682.96x = 40,049,735.08
  5. Step 5: Solve for x
    x = 40,049,735.08/9,682.96
  6. Step 6: Final answer
    x = 4,136.10

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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.