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Finding the Fourth Proportional to 9,489.50, 14,234.25 and 2,564

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Solution

The fourth proportional to 9,489.50, 14,234.25 and 2,564 is: 3,846

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,489.50 : 14,234.25 = 2,564 : x
  2. Step 2: Convert to fraction form
    9,489.50/14,234.25 = 2,564/x
  3. Step 3: Cross multiply
    9,489.50x = 14,234.25 × 2,564
  4. Step 4: Simplify right side
    9,489.50x = 36,496,617
  5. Step 5: Solve for x
    x = 36,496,617/9,489.50
  6. Step 6: Final answer
    x = 3,846

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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.