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Finding the Fourth Proportional to 6,960.76, 9,605.94 and 3,816.88

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Solution

The fourth proportional to 6,960.76, 9,605.94 and 3,816.88 is: 5,267.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,960.76 : 9,605.94 = 3,816.88 : x
  2. Step 2: Convert to fraction form
    6,960.76/9,605.94 = 3,816.88/x
  3. Step 3: Cross multiply
    6,960.76x = 9,605.94 × 3,816.88
  4. Step 4: Simplify right side
    6,960.76x = 36,664,720.27
  5. Step 5: Solve for x
    x = 36,664,720.27/6,960.76
  6. Step 6: Final answer
    x = 5,267.34

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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.