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Finding the Fourth Proportional to 9,181.49, 12,663.89 and 8,427.66

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Solution

The fourth proportional to 9,181.49, 12,663.89 and 8,427.66 is: 11,624.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,181.49 : 12,663.89 = 8,427.66 : x
  2. Step 2: Convert to fraction form
    9,181.49/12,663.89 = 8,427.66/x
  3. Step 3: Cross multiply
    9,181.49x = 12,663.89 × 8,427.66
  4. Step 4: Simplify right side
    9,181.49x = 106,726,940.76
  5. Step 5: Solve for x
    x = 106,726,940.76/9,181.49
  6. Step 6: Final answer
    x = 11,624.15

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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.