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Finding the Fourth Proportional to 6,965.96, 9,612.86 and 3,822.12

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Solution

The fourth proportional to 6,965.96, 9,612.86 and 3,822.12 is: 5,274.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965.96 : 9,612.86 = 3,822.12 : x
  2. Step 2: Convert to fraction form
    6,965.96/9,612.86 = 3,822.12/x
  3. Step 3: Cross multiply
    6,965.96x = 9,612.86 × 3,822.12
  4. Step 4: Simplify right side
    6,965.96x = 36,741,504.46
  5. Step 5: Solve for x
    x = 36,741,504.46/6,965.96
  6. Step 6: Final answer
    x = 5,274.44

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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.