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Finding the Fourth Proportional to 9,252.54, 13,872.32 and 3,408.40

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Solution

The fourth proportional to 9,252.54, 13,872.32 and 3,408.40 is: 5,110.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,252.54 : 13,872.32 = 3,408.40 : x
  2. Step 2: Convert to fraction form
    9,252.54/13,872.32 = 3,408.40/x
  3. Step 3: Cross multiply
    9,252.54x = 13,872.32 × 3,408.40
  4. Step 4: Simplify right side
    9,252.54x = 47,282,415.49
  5. Step 5: Solve for x
    x = 47,282,415.49/9,252.54
  6. Step 6: Final answer
    x = 5,110.21

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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.