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Finding the Fourth Proportional to 6,962.82, 9,608.56 and 3,937.89

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Solution

The fourth proportional to 6,962.82, 9,608.56 and 3,937.89 is: 5,434.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,962.82 : 9,608.56 = 3,937.89 : x
  2. Step 2: Convert to fraction form
    6,962.82/9,608.56 = 3,937.89/x
  3. Step 3: Cross multiply
    6,962.82x = 9,608.56 × 3,937.89
  4. Step 4: Simplify right side
    6,962.82x = 37,837,452.34
  5. Step 5: Solve for x
    x = 37,837,452.34/6,962.82
  6. Step 6: Final answer
    x = 5,434.22

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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.