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Finding the Fourth Proportional to 6,819.75, 9,409.64 and 3,834.99

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Solution

The fourth proportional to 6,819.75, 9,409.64 and 3,834.99 is: 5,291.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,819.75 : 9,409.64 = 3,834.99 : x
  2. Step 2: Convert to fraction form
    6,819.75/9,409.64 = 3,834.99/x
  3. Step 3: Cross multiply
    6,819.75x = 9,409.64 × 3,834.99
  4. Step 4: Simplify right side
    6,819.75x = 36,085,856.13
  5. Step 5: Solve for x
    x = 36,085,856.13/6,819.75
  6. Step 6: Final answer
    x = 5,291.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.