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Finding the Fourth Proportional to 6,134.20, 9,201.30 and 4,406.20

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Solution

The fourth proportional to 6,134.20, 9,201.30 and 4,406.20 is: 6,609.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,134.20 : 9,201.30 = 4,406.20 : x
  2. Step 2: Convert to fraction form
    6,134.20/9,201.30 = 4,406.20/x
  3. Step 3: Cross multiply
    6,134.20x = 9,201.30 × 4,406.20
  4. Step 4: Simplify right side
    6,134.20x = 40,542,768.06
  5. Step 5: Solve for x
    x = 40,542,768.06/6,134.20
  6. Step 6: Final answer
    x = 6,609.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.