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Finding the Fourth Proportional to 9,891.09, 13,649.36 and 5,909.85

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Solution

The fourth proportional to 9,891.09, 13,649.36 and 5,909.85 is: 8,155.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,891.09 : 13,649.36 = 5,909.85 : x
  2. Step 2: Convert to fraction form
    9,891.09/13,649.36 = 5,909.85/x
  3. Step 3: Cross multiply
    9,891.09x = 13,649.36 × 5,909.85
  4. Step 4: Simplify right side
    9,891.09x = 80,665,640.65
  5. Step 5: Solve for x
    x = 80,665,640.65/9,891.09
  6. Step 6: Final answer
    x = 8,155.38

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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.