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Finding the Fourth Proportional to 9,213.52, 12,723.66 and 7,879.48

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Solution

The fourth proportional to 9,213.52, 12,723.66 and 7,879.48 is: 10,881.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,213.52 : 12,723.66 = 7,879.48 : x
  2. Step 2: Convert to fraction form
    9,213.52/12,723.66 = 7,879.48/x
  3. Step 3: Cross multiply
    9,213.52x = 12,723.66 × 7,879.48
  4. Step 4: Simplify right side
    9,213.52x = 100,255,824.50
  5. Step 5: Solve for x
    x = 100,255,824.50/9,213.52
  6. Step 6: Final answer
    x = 10,881.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.