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Finding the Fourth Proportional to 9,591.44, 14,389.09 and 3,016.09

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Solution

The fourth proportional to 9,591.44, 14,389.09 and 3,016.09 is: 4,524.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,591.44 : 14,389.09 = 3,016.09 : x
  2. Step 2: Convert to fraction form
    9,591.44/14,389.09 = 3,016.09/x
  3. Step 3: Cross multiply
    9,591.44x = 14,389.09 × 3,016.09
  4. Step 4: Simplify right side
    9,591.44x = 43,398,736.93
  5. Step 5: Solve for x
    x = 43,398,736.93/9,591.44
  6. Step 6: Final answer
    x = 4,524.74

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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.