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Finding the Fourth Proportional to 6,326.38, 9,490.14 and 3,859.96

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Solution

The fourth proportional to 6,326.38, 9,490.14 and 3,859.96 is: 5,790.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,326.38 : 9,490.14 = 3,859.96 : x
  2. Step 2: Convert to fraction form
    6,326.38/9,490.14 = 3,859.96/x
  3. Step 3: Cross multiply
    6,326.38x = 9,490.14 × 3,859.96
  4. Step 4: Simplify right side
    6,326.38x = 36,631,560.79
  5. Step 5: Solve for x
    x = 36,631,560.79/6,326.38
  6. Step 6: Final answer
    x = 5,790.29

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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.