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Finding the Fourth Proportional to 6,992.70, 9,650.10 and 3,806.20

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Solution

The fourth proportional to 6,992.70, 9,650.10 and 3,806.20 is: 5,252.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,992.70 : 9,650.10 = 3,806.20 : x
  2. Step 2: Convert to fraction form
    6,992.70/9,650.10 = 3,806.20/x
  3. Step 3: Cross multiply
    6,992.70x = 9,650.10 × 3,806.20
  4. Step 4: Simplify right side
    6,992.70x = 36,730,210.62
  5. Step 5: Solve for x
    x = 36,730,210.62/6,992.70
  6. Step 6: Final answer
    x = 5,252.65

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