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Finding the Fourth Proportional to 9,640, 13,304.01 and 6,105.97

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Solution

The fourth proportional to 9,640, 13,304.01 and 6,105.97 is: 8,426.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640 : 13,304.01 = 6,105.97 : x
  2. Step 2: Convert to fraction form
    9,640/13,304.01 = 6,105.97/x
  3. Step 3: Cross multiply
    9,640x = 13,304.01 × 6,105.97
  4. Step 4: Simplify right side
    9,640x = 81,233,885.94
  5. Step 5: Solve for x
    x = 81,233,885.94/9,640
  6. Step 6: Final answer
    x = 8,426.75

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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.