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Finding the Fourth Proportional to 9,505.26, 13,108.77 and 5,968.80

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Solution

The fourth proportional to 9,505.26, 13,108.77 and 5,968.80 is: 8,231.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,505.26 : 13,108.77 = 5,968.80 : x
  2. Step 2: Convert to fraction form
    9,505.26/13,108.77 = 5,968.80/x
  3. Step 3: Cross multiply
    9,505.26x = 13,108.77 × 5,968.80
  4. Step 4: Simplify right side
    9,505.26x = 78,243,626.38
  5. Step 5: Solve for x
    x = 78,243,626.38/9,505.26
  6. Step 6: Final answer
    x = 8,231.61

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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.