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Finding the Fourth Proportional to 9,255.66, 13,874.13 and 3,408.18

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Solution

The fourth proportional to 9,255.66, 13,874.13 and 3,408.18 is: 5,108.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,255.66 : 13,874.13 = 3,408.18 : x
  2. Step 2: Convert to fraction form
    9,255.66/13,874.13 = 3,408.18/x
  3. Step 3: Cross multiply
    9,255.66x = 13,874.13 × 3,408.18
  4. Step 4: Simplify right side
    9,255.66x = 47,285,532.38
  5. Step 5: Solve for x
    x = 47,285,532.38/9,255.66
  6. Step 6: Final answer
    x = 5,108.82

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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.