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Finding the Fourth Proportional to 9,625.86, 14,414.49 and 8,062.02

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Solution

The fourth proportional to 9,625.86, 14,414.49 and 8,062.02 is: 12,072.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,625.86 : 14,414.49 = 8,062.02 : x
  2. Step 2: Convert to fraction form
    9,625.86/14,414.49 = 8,062.02/x
  3. Step 3: Cross multiply
    9,625.86x = 14,414.49 × 8,062.02
  4. Step 4: Simplify right side
    9,625.86x = 116,209,906.67
  5. Step 5: Solve for x
    x = 116,209,906.67/9,625.86
  6. Step 6: Final answer
    x = 12,072.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.