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Finding the Fourth Proportional to 12,263.27, 16,922.13 and 6,884.47

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Solution

The fourth proportional to 12,263.27, 16,922.13 and 6,884.47 is: 9,499.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,263.27 : 16,922.13 = 6,884.47 : x
  2. Step 2: Convert to fraction form
    12,263.27/16,922.13 = 6,884.47/x
  3. Step 3: Cross multiply
    12,263.27x = 16,922.13 × 6,884.47
  4. Step 4: Simplify right side
    12,263.27x = 116,499,896.32
  5. Step 5: Solve for x
    x = 116,499,896.32/12,263.27
  6. Step 6: Final answer
    x = 9,499.90

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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.