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Finding the Fourth Proportional to 9,794.61, 14,691.93 and 3,553.22

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Solution

The fourth proportional to 9,794.61, 14,691.93 and 3,553.22 is: 5,329.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.61 : 14,691.93 = 3,553.22 : x
  2. Step 2: Convert to fraction form
    9,794.61/14,691.93 = 3,553.22/x
  3. Step 3: Cross multiply
    9,794.61x = 14,691.93 × 3,553.22
  4. Step 4: Simplify right side
    9,794.61x = 52,203,586.05
  5. Step 5: Solve for x
    x = 52,203,586.05/9,794.61
  6. Step 6: Final answer
    x = 5,329.83

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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.