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Finding the Fourth Proportional to 9,489.24, 14,234.67 and 3,249

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Solution

The fourth proportional to 9,489.24, 14,234.67 and 3,249 is: 4,873.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,489.24 : 14,234.67 = 3,249 : x
  2. Step 2: Convert to fraction form
    9,489.24/14,234.67 = 3,249/x
  3. Step 3: Cross multiply
    9,489.24x = 14,234.67 × 3,249
  4. Step 4: Simplify right side
    9,489.24x = 46,248,442.83
  5. Step 5: Solve for x
    x = 46,248,442.83/9,489.24
  6. Step 6: Final answer
    x = 4,873.78

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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.