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Finding the Fourth Proportional to 9,410.44, 14,119.05 and 3,567

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Solution

The fourth proportional to 9,410.44, 14,119.05 and 3,567 is: 5,351.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,410.44 : 14,119.05 = 3,567 : x
  2. Step 2: Convert to fraction form
    9,410.44/14,119.05 = 3,567/x
  3. Step 3: Cross multiply
    9,410.44x = 14,119.05 × 3,567
  4. Step 4: Simplify right side
    9,410.44x = 50,362,651.35
  5. Step 5: Solve for x
    x = 50,362,651.35/9,410.44
  6. Step 6: Final answer
    x = 5,351.78

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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.