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Finding the Fourth Proportional to 9,494.92, 14,231.50 and 3,648.52

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Solution

The fourth proportional to 9,494.92, 14,231.50 and 3,648.52 is: 5,468.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494.92 : 14,231.50 = 3,648.52 : x
  2. Step 2: Convert to fraction form
    9,494.92/14,231.50 = 3,648.52/x
  3. Step 3: Cross multiply
    9,494.92x = 14,231.50 × 3,648.52
  4. Step 4: Simplify right side
    9,494.92x = 51,923,912.38
  5. Step 5: Solve for x
    x = 51,923,912.38/9,494.92
  6. Step 6: Final answer
    x = 5,468.60

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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.