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Finding the Fourth Proportional to 6,820.80, 9,414.12 and 4,027.20

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Solution

The fourth proportional to 6,820.80, 9,414.12 and 4,027.20 is: 5,558.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,820.80 : 9,414.12 = 4,027.20 : x
  2. Step 2: Convert to fraction form
    6,820.80/9,414.12 = 4,027.20/x
  3. Step 3: Cross multiply
    6,820.80x = 9,414.12 × 4,027.20
  4. Step 4: Simplify right side
    6,820.80x = 37,912,544.06
  5. Step 5: Solve for x
    x = 37,912,544.06/6,820.80
  6. Step 6: Final answer
    x = 5,558.37

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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.