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Finding the Fourth Proportional to 9,382.54, 14,073.81 and 3,537.79

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Solution

The fourth proportional to 9,382.54, 14,073.81 and 3,537.79 is: 5,306.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,382.54 : 14,073.81 = 3,537.79 : x
  2. Step 2: Convert to fraction form
    9,382.54/14,073.81 = 3,537.79/x
  3. Step 3: Cross multiply
    9,382.54x = 14,073.81 × 3,537.79
  4. Step 4: Simplify right side
    9,382.54x = 49,790,184.28
  5. Step 5: Solve for x
    x = 49,790,184.28/9,382.54
  6. Step 6: Final answer
    x = 5,306.69

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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.