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Finding the Fourth Proportional to 9,251.35, 13,863.27 and 5,549.24

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Solution

The fourth proportional to 9,251.35, 13,863.27 and 5,549.24 is: 8,315.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,251.35 : 13,863.27 = 5,549.24 : x
  2. Step 2: Convert to fraction form
    9,251.35/13,863.27 = 5,549.24/x
  3. Step 3: Cross multiply
    9,251.35x = 13,863.27 × 5,549.24
  4. Step 4: Simplify right side
    9,251.35x = 76,930,647.07
  5. Step 5: Solve for x
    x = 76,930,647.07/9,251.35
  6. Step 6: Final answer
    x = 8,315.62

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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.