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Finding the Fourth Proportional to 9,658.36, 14,456.22 and 5,209.84

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Solution

The fourth proportional to 9,658.36, 14,456.22 and 5,209.84 is: 7,797.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,658.36 : 14,456.22 = 5,209.84 : x
  2. Step 2: Convert to fraction form
    9,658.36/14,456.22 = 5,209.84/x
  3. Step 3: Cross multiply
    9,658.36x = 14,456.22 × 5,209.84
  4. Step 4: Simplify right side
    9,658.36x = 75,314,593.20
  5. Step 5: Solve for x
    x = 75,314,593.20/9,658.36
  6. Step 6: Final answer
    x = 7,797.87

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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.