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Finding the Fourth Proportional to 12,234.77, 16,883.97 and 6,930.61

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Solution

The fourth proportional to 12,234.77, 16,883.97 and 6,930.61 is: 9,564.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,234.77 : 16,883.97 = 6,930.61 : x
  2. Step 2: Convert to fraction form
    12,234.77/16,883.97 = 6,930.61/x
  3. Step 3: Cross multiply
    12,234.77x = 16,883.97 × 6,930.61
  4. Step 4: Simplify right side
    12,234.77x = 117,016,143.12
  5. Step 5: Solve for x
    x = 117,016,143.12/12,234.77
  6. Step 6: Final answer
    x = 9,564.23

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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.