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Finding the Fourth Proportional to 28,934.82, 43,401.78 and 9,213.21

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Solution

The fourth proportional to 28,934.82, 43,401.78 and 9,213.21 is: 13,819.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,934.82 : 43,401.78 = 9,213.21 : x
  2. Step 2: Convert to fraction form
    28,934.82/43,401.78 = 9,213.21/x
  3. Step 3: Cross multiply
    28,934.82x = 43,401.78 × 9,213.21
  4. Step 4: Simplify right side
    28,934.82x = 399,869,713.51
  5. Step 5: Solve for x
    x = 399,869,713.51/28,934.82
  6. Step 6: Final answer
    x = 13,819.67

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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.