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Finding the Fourth Proportional to 9,682.55, 14,523.53 and 2,757.05

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Solution

The fourth proportional to 9,682.55, 14,523.53 and 2,757.05 is: 4,135.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.55 : 14,523.53 = 2,757.05 : x
  2. Step 2: Convert to fraction form
    9,682.55/14,523.53 = 2,757.05/x
  3. Step 3: Cross multiply
    9,682.55x = 14,523.53 × 2,757.05
  4. Step 4: Simplify right side
    9,682.55x = 40,042,084.60
  5. Step 5: Solve for x
    x = 40,042,084.60/9,682.55
  6. Step 6: Final answer
    x = 4,135.49

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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.