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Finding the Fourth Proportional to 12,263.77, 16,922.82 and 6,884.97

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Solution

The fourth proportional to 12,263.77, 16,922.82 and 6,884.97 is: 9,500.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,263.77 : 16,922.82 = 6,884.97 : x
  2. Step 2: Convert to fraction form
    12,263.77/16,922.82 = 6,884.97/x
  3. Step 3: Cross multiply
    12,263.77x = 16,922.82 × 6,884.97
  4. Step 4: Simplify right side
    12,263.77x = 116,513,108.02
  5. Step 5: Solve for x
    x = 116,513,108.02/12,263.77
  6. Step 6: Final answer
    x = 9,500.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.