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Finding the Fourth Proportional to 9,246.92, 13,871.14 and 3,006.79

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Solution

The fourth proportional to 9,246.92, 13,871.14 and 3,006.79 is: 4,510.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,246.92 : 13,871.14 = 3,006.79 : x
  2. Step 2: Convert to fraction form
    9,246.92/13,871.14 = 3,006.79/x
  3. Step 3: Cross multiply
    9,246.92x = 13,871.14 × 3,006.79
  4. Step 4: Simplify right side
    9,246.92x = 41,707,571.30
  5. Step 5: Solve for x
    x = 41,707,571.30/9,246.92
  6. Step 6: Final answer
    x = 4,510.43

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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.