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Finding the Fourth Proportional to 9,137.91, 12,610.38 and 5,600.44

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Solution

The fourth proportional to 9,137.91, 12,610.38 and 5,600.44 is: 7,728.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.91 : 12,610.38 = 5,600.44 : x
  2. Step 2: Convert to fraction form
    9,137.91/12,610.38 = 5,600.44/x
  3. Step 3: Cross multiply
    9,137.91x = 12,610.38 × 5,600.44
  4. Step 4: Simplify right side
    9,137.91x = 70,623,713.33
  5. Step 5: Solve for x
    x = 70,623,713.33/9,137.91
  6. Step 6: Final answer
    x = 7,728.65

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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.