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Finding the Fourth Proportional to 12,269.88, 16,932.90 and 6,964.92

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Solution

The fourth proportional to 12,269.88, 16,932.90 and 6,964.92 is: 9,611.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,269.88 : 16,932.90 = 6,964.92 : x
  2. Step 2: Convert to fraction form
    12,269.88/16,932.90 = 6,964.92/x
  3. Step 3: Cross multiply
    12,269.88x = 16,932.90 × 6,964.92
  4. Step 4: Simplify right side
    12,269.88x = 117,936,293.87
  5. Step 5: Solve for x
    x = 117,936,293.87/12,269.88
  6. Step 6: Final answer
    x = 9,611.85

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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.