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Finding the Fourth Proportional to 9,414.44, 12,997.38 and 5,879.48

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Solution

The fourth proportional to 9,414.44, 12,997.38 and 5,879.48 is: 8,117.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,414.44 : 12,997.38 = 5,879.48 : x
  2. Step 2: Convert to fraction form
    9,414.44/12,997.38 = 5,879.48/x
  3. Step 3: Cross multiply
    9,414.44x = 12,997.38 × 5,879.48
  4. Step 4: Simplify right side
    9,414.44x = 76,417,835.76
  5. Step 5: Solve for x
    x = 76,417,835.76/9,414.44
  6. Step 6: Final answer
    x = 8,117.09

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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.