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Finding the Fourth Proportional to 9,874.75, 14,814.47 and 2,949.43

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Solution

The fourth proportional to 9,874.75, 14,814.47 and 2,949.43 is: 4,424.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,874.75 : 14,814.47 = 2,949.43 : x
  2. Step 2: Convert to fraction form
    9,874.75/14,814.47 = 2,949.43/x
  3. Step 3: Cross multiply
    9,874.75x = 14,814.47 × 2,949.43
  4. Step 4: Simplify right side
    9,874.75x = 43,694,227.50
  5. Step 5: Solve for x
    x = 43,694,227.50/9,874.75
  6. Step 6: Final answer
    x = 4,424.84

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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.