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Finding the Fourth Proportional to 9,383.54, 14,078.43 and 3,144.17

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Solution

The fourth proportional to 9,383.54, 14,078.43 and 3,144.17 is: 4,717.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,383.54 : 14,078.43 = 3,144.17 : x
  2. Step 2: Convert to fraction form
    9,383.54/14,078.43 = 3,144.17/x
  3. Step 3: Cross multiply
    9,383.54x = 14,078.43 × 3,144.17
  4. Step 4: Simplify right side
    9,383.54x = 44,264,906.86
  5. Step 5: Solve for x
    x = 44,264,906.86/9,383.54
  6. Step 6: Final answer
    x = 4,717.30

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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.