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Finding the Fourth Proportional to 6,965.50, 9,612.48 and 3,821.62

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Solution

The fourth proportional to 6,965.50, 9,612.48 and 3,821.62 is: 5,273.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965.50 : 9,612.48 = 3,821.62 : x
  2. Step 2: Convert to fraction form
    6,965.50/9,612.48 = 3,821.62/x
  3. Step 3: Cross multiply
    6,965.50x = 9,612.48 × 3,821.62
  4. Step 4: Simplify right side
    6,965.50x = 36,735,245.82
  5. Step 5: Solve for x
    x = 36,735,245.82/6,965.50
  6. Step 6: Final answer
    x = 5,273.88

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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.