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Finding the Fourth Proportional to 9,537.96, 14,306.92 and 3,694.56

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Solution

The fourth proportional to 9,537.96, 14,306.92 and 3,694.56 is: 5,541.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,537.96 : 14,306.92 = 3,694.56 : x
  2. Step 2: Convert to fraction form
    9,537.96/14,306.92 = 3,694.56/x
  3. Step 3: Cross multiply
    9,537.96x = 14,306.92 × 3,694.56
  4. Step 4: Simplify right side
    9,537.96x = 52,857,774.36
  5. Step 5: Solve for x
    x = 52,857,774.36/9,537.96
  6. Step 6: Final answer
    x = 5,541.83

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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.