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Finding the Fourth Proportional to 9,394.68, 14,091.58 and 3,846.66

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Solution

The fourth proportional to 9,394.68, 14,091.58 and 3,846.66 is: 5,769.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,394.68 : 14,091.58 = 3,846.66 : x
  2. Step 2: Convert to fraction form
    9,394.68/14,091.58 = 3,846.66/x
  3. Step 3: Cross multiply
    9,394.68x = 14,091.58 × 3,846.66
  4. Step 4: Simplify right side
    9,394.68x = 54,205,517.12
  5. Step 5: Solve for x
    x = 54,205,517.12/9,394.68
  6. Step 6: Final answer
    x = 5,769.81

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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.