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Finding the Fourth Proportional to 9,255.96, 13,874.22 and 6,333.48

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Solution

The fourth proportional to 9,255.96, 13,874.22 and 6,333.48 is: 9,493.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,255.96 : 13,874.22 = 6,333.48 : x
  2. Step 2: Convert to fraction form
    9,255.96/13,874.22 = 6,333.48/x
  3. Step 3: Cross multiply
    9,255.96x = 13,874.22 × 6,333.48
  4. Step 4: Simplify right side
    9,255.96x = 87,872,094.89
  5. Step 5: Solve for x
    x = 87,872,094.89/9,255.96
  6. Step 6: Final answer
    x = 9,493.57

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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.