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Finding the Fourth Proportional to 9,382.44, 14,072.04 and 3,538.56

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Solution

The fourth proportional to 9,382.44, 14,072.04 and 3,538.56 is: 5,307.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,382.44 : 14,072.04 = 3,538.56 : x
  2. Step 2: Convert to fraction form
    9,382.44/14,072.04 = 3,538.56/x
  3. Step 3: Cross multiply
    9,382.44x = 14,072.04 × 3,538.56
  4. Step 4: Simplify right side
    9,382.44x = 49,794,757.86
  5. Step 5: Solve for x
    x = 49,794,757.86/9,382.44
  6. Step 6: Final answer
    x = 5,307.23

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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.