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Finding the Fourth Proportional to 6,147.92, 9,216.41 and 4,502.27

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Solution

The fourth proportional to 6,147.92, 9,216.41 and 4,502.27 is: 6,749.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.92 : 9,216.41 = 4,502.27 : x
  2. Step 2: Convert to fraction form
    6,147.92/9,216.41 = 4,502.27/x
  3. Step 3: Cross multiply
    6,147.92x = 9,216.41 × 4,502.27
  4. Step 4: Simplify right side
    6,147.92x = 41,494,697.66
  5. Step 5: Solve for x
    x = 41,494,697.66/6,147.92
  6. Step 6: Final answer
    x = 6,749.39

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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.