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Finding the Fourth Proportional to 6,233.16, 9,363.30 and 3,769.14

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Solution

The fourth proportional to 6,233.16, 9,363.30 and 3,769.14 is: 5,661.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,233.16 : 9,363.30 = 3,769.14 : x
  2. Step 2: Convert to fraction form
    6,233.16/9,363.30 = 3,769.14/x
  3. Step 3: Cross multiply
    6,233.16x = 9,363.30 × 3,769.14
  4. Step 4: Simplify right side
    6,233.16x = 35,291,588.56
  5. Step 5: Solve for x
    x = 35,291,588.56/6,233.16
  6. Step 6: Final answer
    x = 5,661.91

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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.