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Finding the Fourth Proportional to 9,249.68, 13,873.08 and 3,401.84

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Solution

The fourth proportional to 9,249.68, 13,873.08 and 3,401.84 is: 5,102.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,249.68 : 13,873.08 = 3,401.84 : x
  2. Step 2: Convert to fraction form
    9,249.68/13,873.08 = 3,401.84/x
  3. Step 3: Cross multiply
    9,249.68x = 13,873.08 × 3,401.84
  4. Step 4: Simplify right side
    9,249.68x = 47,193,998.47
  5. Step 5: Solve for x
    x = 47,193,998.47/9,249.68
  6. Step 6: Final answer
    x = 5,102.23

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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.