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Finding the Fourth Proportional to 8,944.50, 13,416.73 and 2,371.20

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Solution

The fourth proportional to 8,944.50, 13,416.73 and 2,371.20 is: 3,556.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,944.50 : 13,416.73 = 2,371.20 : x
  2. Step 2: Convert to fraction form
    8,944.50/13,416.73 = 2,371.20/x
  3. Step 3: Cross multiply
    8,944.50x = 13,416.73 × 2,371.20
  4. Step 4: Simplify right side
    8,944.50x = 31,813,750.18
  5. Step 5: Solve for x
    x = 31,813,750.18/8,944.50
  6. Step 6: Final answer
    x = 3,556.79

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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.