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Finding the Fourth Proportional to 12,270.21, 16,932.42 and 6,964.71

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Solution

The fourth proportional to 12,270.21, 16,932.42 and 6,964.71 is: 9,611.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,270.21 : 16,932.42 = 6,964.71 : x
  2. Step 2: Convert to fraction form
    12,270.21/16,932.42 = 6,964.71/x
  3. Step 3: Cross multiply
    12,270.21x = 16,932.42 × 6,964.71
  4. Step 4: Simplify right side
    12,270.21x = 117,929,394.90
  5. Step 5: Solve for x
    x = 117,929,394.90/12,270.21
  6. Step 6: Final answer
    x = 9,611.03

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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.