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Finding the Fourth Proportional to 6,796.49, 9,377.55 and 3,962.16

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Solution

The fourth proportional to 6,796.49, 9,377.55 and 3,962.16 is: 5,466.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,796.49 : 9,377.55 = 3,962.16 : x
  2. Step 2: Convert to fraction form
    6,796.49/9,377.55 = 3,962.16/x
  3. Step 3: Cross multiply
    6,796.49x = 9,377.55 × 3,962.16
  4. Step 4: Simplify right side
    6,796.49x = 37,155,353.51
  5. Step 5: Solve for x
    x = 37,155,353.51/6,796.49
  6. Step 6: Final answer
    x = 5,466.85

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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.