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Finding the Fourth Proportional to 9,221.90, 13,833.63 and 3,957.14

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Solution

The fourth proportional to 9,221.90, 13,833.63 and 3,957.14 is: 5,936.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,221.90 : 13,833.63 = 3,957.14 : x
  2. Step 2: Convert to fraction form
    9,221.90/13,833.63 = 3,957.14/x
  3. Step 3: Cross multiply
    9,221.90x = 13,833.63 × 3,957.14
  4. Step 4: Simplify right side
    9,221.90x = 54,741,610.62
  5. Step 5: Solve for x
    x = 54,741,610.62/9,221.90
  6. Step 6: Final answer
    x = 5,936.04

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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.