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Finding the Fourth Proportional to 8,974.73, 13,492.50 and 7,231.97

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Solution

The fourth proportional to 8,974.73, 13,492.50 and 7,231.97 is: 10,872.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,974.73 : 13,492.50 = 7,231.97 : x
  2. Step 2: Convert to fraction form
    8,974.73/13,492.50 = 7,231.97/x
  3. Step 3: Cross multiply
    8,974.73x = 13,492.50 × 7,231.97
  4. Step 4: Simplify right side
    8,974.73x = 97,577,321.49
  5. Step 5: Solve for x
    x = 97,577,321.49/8,974.73
  6. Step 6: Final answer
    x = 10,872.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.