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Finding the Fourth Proportional to 9,480.57, 14,221.41 and 2,906.82

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Solution

The fourth proportional to 9,480.57, 14,221.41 and 2,906.82 is: 4,360.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,480.57 : 14,221.41 = 2,906.82 : x
  2. Step 2: Convert to fraction form
    9,480.57/14,221.41 = 2,906.82/x
  3. Step 3: Cross multiply
    9,480.57x = 14,221.41 × 2,906.82
  4. Step 4: Simplify right side
    9,480.57x = 41,339,079.02
  5. Step 5: Solve for x
    x = 41,339,079.02/9,480.57
  6. Step 6: Final answer
    x = 4,360.40

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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.