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Finding the Fourth Proportional to 8,745.92, 13,104.32 and 6,144.20

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Solution

The fourth proportional to 8,745.92, 13,104.32 and 6,144.20 is: 9,206.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,745.92 : 13,104.32 = 6,144.20 : x
  2. Step 2: Convert to fraction form
    8,745.92/13,104.32 = 6,144.20/x
  3. Step 3: Cross multiply
    8,745.92x = 13,104.32 × 6,144.20
  4. Step 4: Simplify right side
    8,745.92x = 80,515,562.94
  5. Step 5: Solve for x
    x = 80,515,562.94/8,745.92
  6. Step 6: Final answer
    x = 9,206.07

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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.