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Finding the Fourth Proportional to 9,514.10, 13,120.77 and 8,169.28

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Solution

The fourth proportional to 9,514.10, 13,120.77 and 8,169.28 is: 11,266.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,514.10 : 13,120.77 = 8,169.28 : x
  2. Step 2: Convert to fraction form
    9,514.10/13,120.77 = 8,169.28/x
  3. Step 3: Cross multiply
    9,514.10x = 13,120.77 × 8,169.28
  4. Step 4: Simplify right side
    9,514.10x = 107,187,310.94
  5. Step 5: Solve for x
    x = 107,187,310.94/9,514.10
  6. Step 6: Final answer
    x = 11,266.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.