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Finding the Fourth Proportional to 9,497.87, 14,239.01 and 6,169.55

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Solution

The fourth proportional to 9,497.87, 14,239.01 and 6,169.55 is: 9,249.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.87 : 14,239.01 = 6,169.55 : x
  2. Step 2: Convert to fraction form
    9,497.87/14,239.01 = 6,169.55/x
  3. Step 3: Cross multiply
    9,497.87x = 14,239.01 × 6,169.55
  4. Step 4: Simplify right side
    9,497.87x = 87,848,253.30
  5. Step 5: Solve for x
    x = 87,848,253.30/9,497.87
  6. Step 6: Final answer
    x = 9,249.26

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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.