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Finding the Fourth Proportional to 9,850.85, 14,771.90 and 3,609.23

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Solution

The fourth proportional to 9,850.85, 14,771.90 and 3,609.23 is: 5,412.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,850.85 : 14,771.90 = 3,609.23 : x
  2. Step 2: Convert to fraction form
    9,850.85/14,771.90 = 3,609.23/x
  3. Step 3: Cross multiply
    9,850.85x = 14,771.90 × 3,609.23
  4. Step 4: Simplify right side
    9,850.85x = 53,315,119.80
  5. Step 5: Solve for x
    x = 53,315,119.80/9,850.85
  6. Step 6: Final answer
    x = 5,412.24

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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.