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Finding the Fourth Proportional to 6,960.38, 9,605.93 and 3,817.17

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Solution

The fourth proportional to 6,960.38, 9,605.93 and 3,817.17 is: 5,268.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,960.38 : 9,605.93 = 3,817.17 : x
  2. Step 2: Convert to fraction form
    6,960.38/9,605.93 = 3,817.17/x
  3. Step 3: Cross multiply
    6,960.38x = 9,605.93 × 3,817.17
  4. Step 4: Simplify right side
    6,960.38x = 36,667,448.73
  5. Step 5: Solve for x
    x = 36,667,448.73/6,960.38
  6. Step 6: Final answer
    x = 5,268.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.