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Finding the Fourth Proportional to 9,480.92, 14,221.98 and 2,911.68

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Solution

The fourth proportional to 9,480.92, 14,221.98 and 2,911.68 is: 4,367.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,480.92 : 14,221.98 = 2,911.68 : x
  2. Step 2: Convert to fraction form
    9,480.92/14,221.98 = 2,911.68/x
  3. Step 3: Cross multiply
    9,480.92x = 14,221.98 × 2,911.68
  4. Step 4: Simplify right side
    9,480.92x = 41,409,854.73
  5. Step 5: Solve for x
    x = 41,409,854.73/9,480.92
  6. Step 6: Final answer
    x = 4,367.71

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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.