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Finding the Fourth Proportional to 6,648.24, 9,174.28 and 3,961.20

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Solution

The fourth proportional to 6,648.24, 9,174.28 and 3,961.20 is: 5,466.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,648.24 : 9,174.28 = 3,961.20 : x
  2. Step 2: Convert to fraction form
    6,648.24/9,174.28 = 3,961.20/x
  3. Step 3: Cross multiply
    6,648.24x = 9,174.28 × 3,961.20
  4. Step 4: Simplify right side
    6,648.24x = 36,341,157.94
  5. Step 5: Solve for x
    x = 36,341,157.94/6,648.24
  6. Step 6: Final answer
    x = 5,466.28

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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.