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Finding the Fourth Proportional to 6,427.20, 9,614.14 and 6,033.54

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Solution

The fourth proportional to 6,427.20, 9,614.14 and 6,033.54 is: 9,025.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,427.20 : 9,614.14 = 6,033.54 : x
  2. Step 2: Convert to fraction form
    6,427.20/9,614.14 = 6,033.54/x
  3. Step 3: Cross multiply
    6,427.20x = 9,614.14 × 6,033.54
  4. Step 4: Simplify right side
    6,427.20x = 58,007,268.09
  5. Step 5: Solve for x
    x = 58,007,268.09/6,427.20
  6. Step 6: Final answer
    x = 9,025.28

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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.