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Finding the Fourth Proportional to 9,806.77, 14,690.26 and 7,835.73

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Solution

The fourth proportional to 9,806.77, 14,690.26 and 7,835.73 is: 11,737.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.77 : 14,690.26 = 7,835.73 : x
  2. Step 2: Convert to fraction form
    9,806.77/14,690.26 = 7,835.73/x
  3. Step 3: Cross multiply
    9,806.77x = 14,690.26 × 7,835.73
  4. Step 4: Simplify right side
    9,806.77x = 115,108,910.99
  5. Step 5: Solve for x
    x = 115,108,910.99/9,806.77
  6. Step 6: Final answer
    x = 11,737.70

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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.