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Finding the Fourth Proportional to 9,105.90, 13,658.85 and 5,809.20

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Solution

The fourth proportional to 9,105.90, 13,658.85 and 5,809.20 is: 8,713.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,105.90 : 13,658.85 = 5,809.20 : x
  2. Step 2: Convert to fraction form
    9,105.90/13,658.85 = 5,809.20/x
  3. Step 3: Cross multiply
    9,105.90x = 13,658.85 × 5,809.20
  4. Step 4: Simplify right side
    9,105.90x = 79,346,991.42
  5. Step 5: Solve for x
    x = 79,346,991.42/9,105.90
  6. Step 6: Final answer
    x = 8,713.80

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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.