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Finding the Fourth Proportional to 9,959.86, 13,738.91 and 6,227.38

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Solution

The fourth proportional to 9,959.86, 13,738.91 and 6,227.38 is: 8,590.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,959.86 : 13,738.91 = 6,227.38 : x
  2. Step 2: Convert to fraction form
    9,959.86/13,738.91 = 6,227.38/x
  3. Step 3: Cross multiply
    9,959.86x = 13,738.91 × 6,227.38
  4. Step 4: Simplify right side
    9,959.86x = 85,557,413.36
  5. Step 5: Solve for x
    x = 85,557,413.36/9,959.86
  6. Step 6: Final answer
    x = 8,590.22

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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.