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Finding the Fourth Proportional to 6,962.97, 9,608.54 and 3,938.16

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Solution

The fourth proportional to 6,962.97, 9,608.54 and 3,938.16 is: 5,434.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,962.97 : 9,608.54 = 3,938.16 : x
  2. Step 2: Convert to fraction form
    6,962.97/9,608.54 = 3,938.16/x
  3. Step 3: Cross multiply
    6,962.97x = 9,608.54 × 3,938.16
  4. Step 4: Simplify right side
    6,962.97x = 37,839,977.73
  5. Step 5: Solve for x
    x = 37,839,977.73/6,962.97
  6. Step 6: Final answer
    x = 5,434.46

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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.