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Finding the Fourth Proportional to 9,021.38, 13,537.53 and 3,827.25

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Solution

The fourth proportional to 9,021.38, 13,537.53 and 3,827.25 is: 5,743.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,021.38 : 13,537.53 = 3,827.25 : x
  2. Step 2: Convert to fraction form
    9,021.38/13,537.53 = 3,827.25/x
  3. Step 3: Cross multiply
    9,021.38x = 13,537.53 × 3,827.25
  4. Step 4: Simplify right side
    9,021.38x = 51,811,511.69
  5. Step 5: Solve for x
    x = 51,811,511.69/9,021.38
  6. Step 6: Final answer
    x = 5,743.19

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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.