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Finding the Fourth Proportional to 9,394.00, 12,960.79 and 5,414.57

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Solution

The fourth proportional to 9,394.00, 12,960.79 and 5,414.57 is: 7,470.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,394.00 : 12,960.79 = 5,414.57 : x
  2. Step 2: Convert to fraction form
    9,394.00/12,960.79 = 5,414.57/x
  3. Step 3: Cross multiply
    9,394.00x = 12,960.79 × 5,414.57
  4. Step 4: Simplify right side
    9,394.00x = 70,177,123.58
  5. Step 5: Solve for x
    x = 70,177,123.58/9,394.00
  6. Step 6: Final answer
    x = 7,470.42

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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.