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Finding the Fourth Proportional to 9,286.22, 12,783.75 and 8,044.49

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Solution

The fourth proportional to 9,286.22, 12,783.75 and 8,044.49 is: 11,074.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,286.22 : 12,783.75 = 8,044.49 : x
  2. Step 2: Convert to fraction form
    9,286.22/12,783.75 = 8,044.49/x
  3. Step 3: Cross multiply
    9,286.22x = 12,783.75 × 8,044.49
  4. Step 4: Simplify right side
    9,286.22x = 102,838,749.04
  5. Step 5: Solve for x
    x = 102,838,749.04/9,286.22
  6. Step 6: Final answer
    x = 11,074.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.