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Finding the Fourth Proportional to 9,278.33, 13,892.38 and 6,794.33

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Solution

The fourth proportional to 9,278.33, 13,892.38 and 6,794.33 is: 10,173.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,278.33 : 13,892.38 = 6,794.33 : x
  2. Step 2: Convert to fraction form
    9,278.33/13,892.38 = 6,794.33/x
  3. Step 3: Cross multiply
    9,278.33x = 13,892.38 × 6,794.33
  4. Step 4: Simplify right side
    9,278.33x = 94,389,414.21
  5. Step 5: Solve for x
    x = 94,389,414.21/9,278.33
  6. Step 6: Final answer
    x = 10,173.10

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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.