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Finding the Fourth Proportional to 9,538.71, 14,305.33 and 3,297.09

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Solution

The fourth proportional to 9,538.71, 14,305.33 and 3,297.09 is: 4,944.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,538.71 : 14,305.33 = 3,297.09 : x
  2. Step 2: Convert to fraction form
    9,538.71/14,305.33 = 3,297.09/x
  3. Step 3: Cross multiply
    9,538.71x = 14,305.33 × 3,297.09
  4. Step 4: Simplify right side
    9,538.71x = 47,165,960.49
  5. Step 5: Solve for x
    x = 47,165,960.49/9,538.71
  6. Step 6: Final answer
    x = 4,944.69

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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.