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Finding the Fourth Proportional to 9,394.56, 14,091.40 and 3,846.54

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Solution

The fourth proportional to 9,394.56, 14,091.40 and 3,846.54 is: 5,769.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,394.56 : 14,091.40 = 3,846.54 : x
  2. Step 2: Convert to fraction form
    9,394.56/14,091.40 = 3,846.54/x
  3. Step 3: Cross multiply
    9,394.56x = 14,091.40 × 3,846.54
  4. Step 4: Simplify right side
    9,394.56x = 54,203,133.76
  5. Step 5: Solve for x
    x = 54,203,133.76/9,394.56
  6. Step 6: Final answer
    x = 5,769.63

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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.