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Finding the Fourth Proportional to 6,338.24, 9,480.36 and 6,027.20

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Solution

The fourth proportional to 6,338.24, 9,480.36 and 6,027.20 is: 9,015.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.24 : 9,480.36 = 6,027.20 : x
  2. Step 2: Convert to fraction form
    6,338.24/9,480.36 = 6,027.20/x
  3. Step 3: Cross multiply
    6,338.24x = 9,480.36 × 6,027.20
  4. Step 4: Simplify right side
    6,338.24x = 57,140,025.79
  5. Step 5: Solve for x
    x = 57,140,025.79/6,338.24
  6. Step 6: Final answer
    x = 9,015.12

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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.