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Finding the Fourth Proportional to 9,651.49, 14,542.12 and 8,728.09

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Solution

The fourth proportional to 9,651.49, 14,542.12 and 8,728.09 is: 13,150.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,651.49 : 14,542.12 = 8,728.09 : x
  2. Step 2: Convert to fraction form
    9,651.49/14,542.12 = 8,728.09/x
  3. Step 3: Cross multiply
    9,651.49x = 14,542.12 × 8,728.09
  4. Step 4: Simplify right side
    9,651.49x = 126,924,932.15
  5. Step 5: Solve for x
    x = 126,924,932.15/9,651.49
  6. Step 6: Final answer
    x = 13,150.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.