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Finding the Fourth Proportional to 9,640.82, 13,322.72 and 6,960.84

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Solution

The fourth proportional to 9,640.82, 13,322.72 and 6,960.84 is: 9,619.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.82 : 13,322.72 = 6,960.84 : x
  2. Step 2: Convert to fraction form
    9,640.82/13,322.72 = 6,960.84/x
  3. Step 3: Cross multiply
    9,640.82x = 13,322.72 × 6,960.84
  4. Step 4: Simplify right side
    9,640.82x = 92,737,322.28
  5. Step 5: Solve for x
    x = 92,737,322.28/9,640.82
  6. Step 6: Final answer
    x = 9,619.24

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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.