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Finding the Fourth Proportional to 9,394.38, 12,961.31 and 5,414.96

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Solution

The fourth proportional to 9,394.38, 12,961.31 and 5,414.96 is: 7,470.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,394.38 : 12,961.31 = 5,414.96 : x
  2. Step 2: Convert to fraction form
    9,394.38/12,961.31 = 5,414.96/x
  3. Step 3: Cross multiply
    9,394.38x = 12,961.31 × 5,414.96
  4. Step 4: Simplify right side
    9,394.38x = 70,184,883.32
  5. Step 5: Solve for x
    x = 70,184,883.32/9,394.38
  6. Step 6: Final answer
    x = 7,470.94

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Why These Related Problems?

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