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Finding the Fourth Proportional to 6,992.66, 9,650.04 and 3,806.12

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Solution

The fourth proportional to 6,992.66, 9,650.04 and 3,806.12 is: 5,252.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,992.66 : 9,650.04 = 3,806.12 : x
  2. Step 2: Convert to fraction form
    6,992.66/9,650.04 = 3,806.12/x
  3. Step 3: Cross multiply
    6,992.66x = 9,650.04 × 3,806.12
  4. Step 4: Simplify right side
    6,992.66x = 36,729,220.10
  5. Step 5: Solve for x
    x = 36,729,220.10/6,992.66
  6. Step 6: Final answer
    x = 5,252.54

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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.