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Finding the Fourth Proportional to 6,519.69, 9,781.97 and 3,924.45

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Solution

The fourth proportional to 6,519.69, 9,781.97 and 3,924.45 is: 5,888.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,519.69 : 9,781.97 = 3,924.45 : x
  2. Step 2: Convert to fraction form
    6,519.69/9,781.97 = 3,924.45/x
  3. Step 3: Cross multiply
    6,519.69x = 9,781.97 × 3,924.45
  4. Step 4: Simplify right side
    6,519.69x = 38,388,832.54
  5. Step 5: Solve for x
    x = 38,388,832.54/6,519.69
  6. Step 6: Final answer
    x = 5,888.14

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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.