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Finding the Fourth Proportional to 6,936.34, 9,572.36 and 3,792.64

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Solution

The fourth proportional to 6,936.34, 9,572.36 and 3,792.64 is: 5,233.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,936.34 : 9,572.36 = 3,792.64 : x
  2. Step 2: Convert to fraction form
    6,936.34/9,572.36 = 3,792.64/x
  3. Step 3: Cross multiply
    6,936.34x = 9,572.36 × 3,792.64
  4. Step 4: Simplify right side
    6,936.34x = 36,304,515.43
  5. Step 5: Solve for x
    x = 36,304,515.43/6,936.34
  6. Step 6: Final answer
    x = 5,233.96

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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.