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Finding the Fourth Proportional to 6,421.55, 9,613.49 and 5,191.29

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Solution

The fourth proportional to 6,421.55, 9,613.49 and 5,191.29 is: 7,771.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,421.55 : 9,613.49 = 5,191.29 : x
  2. Step 2: Convert to fraction form
    6,421.55/9,613.49 = 5,191.29/x
  3. Step 3: Cross multiply
    6,421.55x = 9,613.49 × 5,191.29
  4. Step 4: Simplify right side
    6,421.55x = 49,906,388.55
  5. Step 5: Solve for x
    x = 49,906,388.55/6,421.55
  6. Step 6: Final answer
    x = 7,771.71

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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.