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Finding the Fourth Proportional to 9,682.88, 14,524.52 and 2,757.38

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Solution

The fourth proportional to 9,682.88, 14,524.52 and 2,757.38 is: 4,136.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.88 : 14,524.52 = 2,757.38 : x
  2. Step 2: Convert to fraction form
    9,682.88/14,524.52 = 2,757.38/x
  3. Step 3: Cross multiply
    9,682.88x = 14,524.52 × 2,757.38
  4. Step 4: Simplify right side
    9,682.88x = 40,049,534.55
  5. Step 5: Solve for x
    x = 40,049,534.55/9,682.88
  6. Step 6: Final answer
    x = 4,136.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.