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Finding the Fourth Proportional to 9,247.74, 13,872.78 and 3,408.42

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Solution

The fourth proportional to 9,247.74, 13,872.78 and 3,408.42 is: 5,113.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,247.74 : 13,872.78 = 3,408.42 : x
  2. Step 2: Convert to fraction form
    9,247.74/13,872.78 = 3,408.42/x
  3. Step 3: Cross multiply
    9,247.74x = 13,872.78 × 3,408.42
  4. Step 4: Simplify right side
    9,247.74x = 47,284,260.81
  5. Step 5: Solve for x
    x = 47,284,260.81/9,247.74
  6. Step 6: Final answer
    x = 5,113.06

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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.