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Finding the Fourth Proportional to 9,196.56, 13,794.84 and 5,499.87

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Solution

The fourth proportional to 9,196.56, 13,794.84 and 5,499.87 is: 8,249.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,196.56 : 13,794.84 = 5,499.87 : x
  2. Step 2: Convert to fraction form
    9,196.56/13,794.84 = 5,499.87/x
  3. Step 3: Cross multiply
    9,196.56x = 13,794.84 × 5,499.87
  4. Step 4: Simplify right side
    9,196.56x = 75,869,826.67
  5. Step 5: Solve for x
    x = 75,869,826.67/9,196.56
  6. Step 6: Final answer
    x = 8,249.81

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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.