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Finding the Fourth Proportional to 9,479.28, 14,219.01 and 3,634.50

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Solution

The fourth proportional to 9,479.28, 14,219.01 and 3,634.50 is: 5,451.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,479.28 : 14,219.01 = 3,634.50 : x
  2. Step 2: Convert to fraction form
    9,479.28/14,219.01 = 3,634.50/x
  3. Step 3: Cross multiply
    9,479.28x = 14,219.01 × 3,634.50
  4. Step 4: Simplify right side
    9,479.28x = 51,678,991.85
  5. Step 5: Solve for x
    x = 51,678,991.85/9,479.28
  6. Step 6: Final answer
    x = 5,451.78

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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.