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Finding the Fourth Proportional to 9,083.72, 13,624.32 and 3,537.92

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Solution

The fourth proportional to 9,083.72, 13,624.32 and 3,537.92 is: 5,306.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,083.72 : 13,624.32 = 3,537.92 : x
  2. Step 2: Convert to fraction form
    9,083.72/13,624.32 = 3,537.92/x
  3. Step 3: Cross multiply
    9,083.72x = 13,624.32 × 3,537.92
  4. Step 4: Simplify right side
    9,083.72x = 48,201,754.21
  5. Step 5: Solve for x
    x = 48,201,754.21/9,083.72
  6. Step 6: Final answer
    x = 5,306.39

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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.