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Finding the Fourth Proportional to 6,845.38, 9,446.69 and 3,861.07

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Solution

The fourth proportional to 6,845.38, 9,446.69 and 3,861.07 is: 5,328.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,845.38 : 9,446.69 = 3,861.07 : x
  2. Step 2: Convert to fraction form
    6,845.38/9,446.69 = 3,861.07/x
  3. Step 3: Cross multiply
    6,845.38x = 9,446.69 × 3,861.07
  4. Step 4: Simplify right side
    6,845.38x = 36,474,331.36
  5. Step 5: Solve for x
    x = 36,474,331.36/6,845.38
  6. Step 6: Final answer
    x = 5,328.31

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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.