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Finding the Fourth Proportional to 9,344.40, 14,016.60 and 3,499.80

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Solution

The fourth proportional to 9,344.40, 14,016.60 and 3,499.80 is: 5,249.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,344.40 : 14,016.60 = 3,499.80 : x
  2. Step 2: Convert to fraction form
    9,344.40/14,016.60 = 3,499.80/x
  3. Step 3: Cross multiply
    9,344.40x = 14,016.60 × 3,499.80
  4. Step 4: Simplify right side
    9,344.40x = 49,055,296.68
  5. Step 5: Solve for x
    x = 49,055,296.68/9,344.40
  6. Step 6: Final answer
    x = 5,249.70

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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.