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Finding the Fourth Proportional to 12,270.42, 16,934.94 and 6,964.11

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Solution

The fourth proportional to 12,270.42, 16,934.94 and 6,964.11 is: 9,611.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,270.42 : 16,934.94 = 6,964.11 : x
  2. Step 2: Convert to fraction form
    12,270.42/16,934.94 = 6,964.11/x
  3. Step 3: Cross multiply
    12,270.42x = 16,934.94 × 6,964.11
  4. Step 4: Simplify right side
    12,270.42x = 117,936,785.00
  5. Step 5: Solve for x
    x = 117,936,785.00/12,270.42
  6. Step 6: Final answer
    x = 9,611.47

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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.