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Finding the Fourth Proportional to 9,581.84, 13,227.24 and 6,264.08

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Solution

The fourth proportional to 9,581.84, 13,227.24 and 6,264.08 is: 8,647.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,581.84 : 13,227.24 = 6,264.08 : x
  2. Step 2: Convert to fraction form
    9,581.84/13,227.24 = 6,264.08/x
  3. Step 3: Cross multiply
    9,581.84x = 13,227.24 × 6,264.08
  4. Step 4: Simplify right side
    9,581.84x = 82,856,489.54
  5. Step 5: Solve for x
    x = 82,856,489.54/9,581.84
  6. Step 6: Final answer
    x = 8,647.24

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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.