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Finding the Fourth Proportional to 6,811.54, 9,401.09 and 3,979.25

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Solution

The fourth proportional to 6,811.54, 9,401.09 and 3,979.25 is: 5,492.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811.54 : 9,401.09 = 3,979.25 : x
  2. Step 2: Convert to fraction form
    6,811.54/9,401.09 = 3,979.25/x
  3. Step 3: Cross multiply
    6,811.54x = 9,401.09 × 3,979.25
  4. Step 4: Simplify right side
    6,811.54x = 37,409,240.38
  5. Step 5: Solve for x
    x = 37,409,240.38/6,811.54
  6. Step 6: Final answer
    x = 5,492.04

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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.