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Finding the Fourth Proportional to 9,354.82, 12,906.34 and 5,999.44

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Solution

The fourth proportional to 9,354.82, 12,906.34 and 5,999.44 is: 8,277.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,354.82 : 12,906.34 = 5,999.44 : x
  2. Step 2: Convert to fraction form
    9,354.82/12,906.34 = 5,999.44/x
  3. Step 3: Cross multiply
    9,354.82x = 12,906.34 × 5,999.44
  4. Step 4: Simplify right side
    9,354.82x = 77,430,825.68
  5. Step 5: Solve for x
    x = 77,430,825.68/9,354.82
  6. Step 6: Final answer
    x = 8,277.11

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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.