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Finding the Fourth Proportional to 9,224.82, 13,827.51 and 3,958.20

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Solution

The fourth proportional to 9,224.82, 13,827.51 and 3,958.20 is: 5,933.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,224.82 : 13,827.51 = 3,958.20 : x
  2. Step 2: Convert to fraction form
    9,224.82/13,827.51 = 3,958.20/x
  3. Step 3: Cross multiply
    9,224.82x = 13,827.51 × 3,958.20
  4. Step 4: Simplify right side
    9,224.82x = 54,732,050.08
  5. Step 5: Solve for x
    x = 54,732,050.08/9,224.82
  6. Step 6: Final answer
    x = 5,933.13

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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.