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Finding the Fourth Proportional to 6,500.14, 8,969.69 and 3,668.22

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Solution

The fourth proportional to 6,500.14, 8,969.69 and 3,668.22 is: 5,061.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.14 : 8,969.69 = 3,668.22 : x
  2. Step 2: Convert to fraction form
    6,500.14/8,969.69 = 3,668.22/x
  3. Step 3: Cross multiply
    6,500.14x = 8,969.69 × 3,668.22
  4. Step 4: Simplify right side
    6,500.14x = 32,902,805.42
  5. Step 5: Solve for x
    x = 32,902,805.42/6,500.14
  6. Step 6: Final answer
    x = 5,061.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.