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Finding the Fourth Proportional to 12,266.73, 16,927.92 and 6,961.50

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Solution

The fourth proportional to 12,266.73, 16,927.92 and 6,961.50 is: 9,606.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,266.73 : 16,927.92 = 6,961.50 : x
  2. Step 2: Convert to fraction form
    12,266.73/16,927.92 = 6,961.50/x
  3. Step 3: Cross multiply
    12,266.73x = 16,927.92 × 6,961.50
  4. Step 4: Simplify right side
    12,266.73x = 117,843,715.08
  5. Step 5: Solve for x
    x = 117,843,715.08/12,266.73
  6. Step 6: Final answer
    x = 9,606.77

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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.