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Finding the Fourth Proportional to 8,832.96, 13,249.41 and 2,259.14

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Solution

The fourth proportional to 8,832.96, 13,249.41 and 2,259.14 is: 3,388.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,832.96 : 13,249.41 = 2,259.14 : x
  2. Step 2: Convert to fraction form
    8,832.96/13,249.41 = 2,259.14/x
  3. Step 3: Cross multiply
    8,832.96x = 13,249.41 × 2,259.14
  4. Step 4: Simplify right side
    8,832.96x = 29,932,205.86
  5. Step 5: Solve for x
    x = 29,932,205.86/8,832.96
  6. Step 6: Final answer
    x = 3,388.69

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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.