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Finding the Fourth Proportional to 9,550.98, 14,311.08 and 5,170.50

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Solution

The fourth proportional to 9,550.98, 14,311.08 and 5,170.50 is: 7,747.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,550.98 : 14,311.08 = 5,170.50 : x
  2. Step 2: Convert to fraction form
    9,550.98/14,311.08 = 5,170.50/x
  3. Step 3: Cross multiply
    9,550.98x = 14,311.08 × 5,170.50
  4. Step 4: Simplify right side
    9,550.98x = 73,995,439.14
  5. Step 5: Solve for x
    x = 73,995,439.14/9,550.98
  6. Step 6: Final answer
    x = 7,747.42

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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.