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Finding the Fourth Proportional to 9,901.92, 14,855.97 and 3,328.38

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Solution

The fourth proportional to 9,901.92, 14,855.97 and 3,328.38 is: 4,993.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,901.92 : 14,855.97 = 3,328.38 : x
  2. Step 2: Convert to fraction form
    9,901.92/14,855.97 = 3,328.38/x
  3. Step 3: Cross multiply
    9,901.92x = 14,855.97 × 3,328.38
  4. Step 4: Simplify right side
    9,901.92x = 49,446,313.43
  5. Step 5: Solve for x
    x = 49,446,313.43/9,901.92
  6. Step 6: Final answer
    x = 4,993.61

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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.