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Finding the Fourth Proportional to 6,961.12, 9,606.48 and 3,817.12

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Solution

The fourth proportional to 6,961.12, 9,606.48 and 3,817.12 is: 5,267.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,961.12 : 9,606.48 = 3,817.12 : x
  2. Step 2: Convert to fraction form
    6,961.12/9,606.48 = 3,817.12/x
  3. Step 3: Cross multiply
    6,961.12x = 9,606.48 × 3,817.12
  4. Step 4: Simplify right side
    6,961.12x = 36,669,086.94
  5. Step 5: Solve for x
    x = 36,669,086.94/6,961.12
  6. Step 6: Final answer
    x = 5,267.70

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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.