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Finding the Fourth Proportional to 8,228.61, 12,342.92 and 3,294.81

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Solution

The fourth proportional to 8,228.61, 12,342.92 and 3,294.81 is: 4,942.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,228.61 : 12,342.92 = 3,294.81 : x
  2. Step 2: Convert to fraction form
    8,228.61/12,342.92 = 3,294.81/x
  3. Step 3: Cross multiply
    8,228.61x = 12,342.92 × 3,294.81
  4. Step 4: Simplify right side
    8,228.61x = 40,667,559.77
  5. Step 5: Solve for x
    x = 40,667,559.77/8,228.61
  6. Step 6: Final answer
    x = 4,942.22

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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.