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Finding the Fourth Proportional to 9,305.38, 13,958.52 and 3,758.03

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Solution

The fourth proportional to 9,305.38, 13,958.52 and 3,758.03 is: 5,637.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,305.38 : 13,958.52 = 3,758.03 : x
  2. Step 2: Convert to fraction form
    9,305.38/13,958.52 = 3,758.03/x
  3. Step 3: Cross multiply
    9,305.38x = 13,958.52 × 3,758.03
  4. Step 4: Simplify right side
    9,305.38x = 52,456,536.92
  5. Step 5: Solve for x
    x = 52,456,536.92/9,305.38
  6. Step 6: Final answer
    x = 5,637.23

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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.