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Finding the Fourth Proportional to 9,382.57, 14,068.67 and 3,839.81

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Solution

The fourth proportional to 9,382.57, 14,068.67 and 3,839.81 is: 5,757.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,382.57 : 14,068.67 = 3,839.81 : x
  2. Step 2: Convert to fraction form
    9,382.57/14,068.67 = 3,839.81/x
  3. Step 3: Cross multiply
    9,382.57x = 14,068.67 × 3,839.81
  4. Step 4: Simplify right side
    9,382.57x = 54,020,930.21
  5. Step 5: Solve for x
    x = 54,020,930.21/9,382.57
  6. Step 6: Final answer
    x = 5,757.59

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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.