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Finding the Fourth Proportional to 6,992.20, 9,649.34 and 3,805.60

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Solution

The fourth proportional to 6,992.20, 9,649.34 and 3,805.60 is: 5,251.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,992.20 : 9,649.34 = 3,805.60 : x
  2. Step 2: Convert to fraction form
    6,992.20/9,649.34 = 3,805.60/x
  3. Step 3: Cross multiply
    6,992.20x = 9,649.34 × 3,805.60
  4. Step 4: Simplify right side
    6,992.20x = 36,721,509.28
  5. Step 5: Solve for x
    x = 36,721,509.28/6,992.20
  6. Step 6: Final answer
    x = 5,251.78

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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.