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Finding the Fourth Proportional to 9,338.78, 12,892.79 and 6,199.26

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Solution

The fourth proportional to 9,338.78, 12,892.79 and 6,199.26 is: 8,558.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,338.78 : 12,892.79 = 6,199.26 : x
  2. Step 2: Convert to fraction form
    9,338.78/12,892.79 = 6,199.26/x
  3. Step 3: Cross multiply
    9,338.78x = 12,892.79 × 6,199.26
  4. Step 4: Simplify right side
    9,338.78x = 79,925,757.34
  5. Step 5: Solve for x
    x = 79,925,757.34/9,338.78
  6. Step 6: Final answer
    x = 8,558.48

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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.