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Finding the Fourth Proportional to 9,794.16, 14,687.80 and 3,553.11

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Solution

The fourth proportional to 9,794.16, 14,687.80 and 3,553.11 is: 5,328.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.16 : 14,687.80 = 3,553.11 : x
  2. Step 2: Convert to fraction form
    9,794.16/14,687.80 = 3,553.11/x
  3. Step 3: Cross multiply
    9,794.16x = 14,687.80 × 3,553.11
  4. Step 4: Simplify right side
    9,794.16x = 52,187,394.38
  5. Step 5: Solve for x
    x = 52,187,394.38/9,794.16
  6. Step 6: Final answer
    x = 5,328.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.