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Finding the Fourth Proportional to 6,846.26, 9,447.03 and 3,861.91

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Solution

The fourth proportional to 6,846.26, 9,447.03 and 3,861.91 is: 5,328.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846.26 : 9,447.03 = 3,861.91 : x
  2. Step 2: Convert to fraction form
    6,846.26/9,447.03 = 3,861.91/x
  3. Step 3: Cross multiply
    6,846.26x = 9,447.03 × 3,861.91
  4. Step 4: Simplify right side
    6,846.26x = 36,483,591.44
  5. Step 5: Solve for x
    x = 36,483,591.44/6,846.26
  6. Step 6: Final answer
    x = 5,328.99

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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.