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Finding the Fourth Proportional to 12,270.39, 16,932.56 and 6,964.49

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Solution

The fourth proportional to 12,270.39, 16,932.56 and 6,964.49 is: 9,610.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,270.39 : 16,932.56 = 6,964.49 : x
  2. Step 2: Convert to fraction form
    12,270.39/16,932.56 = 6,964.49/x
  3. Step 3: Cross multiply
    12,270.39x = 16,932.56 × 6,964.49
  4. Step 4: Simplify right side
    12,270.39x = 117,926,525.31
  5. Step 5: Solve for x
    x = 117,926,525.31/12,270.39
  6. Step 6: Final answer
    x = 9,610.66

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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.