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Finding the Fourth Proportional to 8,954.84, 13,438.09 and 3,408.23

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Solution

The fourth proportional to 8,954.84, 13,438.09 and 3,408.23 is: 5,114.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,954.84 : 13,438.09 = 3,408.23 : x
  2. Step 2: Convert to fraction form
    8,954.84/13,438.09 = 3,408.23/x
  3. Step 3: Cross multiply
    8,954.84x = 13,438.09 × 3,408.23
  4. Step 4: Simplify right side
    8,954.84x = 45,800,101.48
  5. Step 5: Solve for x
    x = 45,800,101.48/8,954.84
  6. Step 6: Final answer
    x = 5,114.56

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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.