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Finding the Fourth Proportional to 6,427.24, 9,640.86 and 3,355.24

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Solution

The fourth proportional to 6,427.24, 9,640.86 and 3,355.24 is: 5,032.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,427.24 : 9,640.86 = 3,355.24 : x
  2. Step 2: Convert to fraction form
    6,427.24/9,640.86 = 3,355.24/x
  3. Step 3: Cross multiply
    6,427.24x = 9,640.86 × 3,355.24
  4. Step 4: Simplify right side
    6,427.24x = 32,347,399.11
  5. Step 5: Solve for x
    x = 32,347,399.11/6,427.24
  6. Step 6: Final answer
    x = 5,032.86

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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.