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Finding the Fourth Proportional to 9,016.50, 13,524.57 and 4,085.22

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Solution

The fourth proportional to 9,016.50, 13,524.57 and 4,085.22 is: 6,127.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,016.50 : 13,524.57 = 4,085.22 : x
  2. Step 2: Convert to fraction form
    9,016.50/13,524.57 = 4,085.22/x
  3. Step 3: Cross multiply
    9,016.50x = 13,524.57 × 4,085.22
  4. Step 4: Simplify right side
    9,016.50x = 55,250,843.86
  5. Step 5: Solve for x
    x = 55,250,843.86/9,016.50
  6. Step 6: Final answer
    x = 6,127.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.