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Finding the Fourth Proportional to 9,634.91, 14,458.04 and 3,793.19

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Solution

The fourth proportional to 9,634.91, 14,458.04 and 3,793.19 is: 5,692.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,634.91 : 14,458.04 = 3,793.19 : x
  2. Step 2: Convert to fraction form
    9,634.91/14,458.04 = 3,793.19/x
  3. Step 3: Cross multiply
    9,634.91x = 14,458.04 × 3,793.19
  4. Step 4: Simplify right side
    9,634.91x = 54,842,073.78
  5. Step 5: Solve for x
    x = 54,842,073.78/9,634.91
  6. Step 6: Final answer
    x = 5,692.02

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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.