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Finding the Fourth Proportional to 6,977.69, 9,629.21 and 3,834.08

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Solution

The fourth proportional to 6,977.69, 9,629.21 and 3,834.08 is: 5,291.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,977.69 : 9,629.21 = 3,834.08 : x
  2. Step 2: Convert to fraction form
    6,977.69/9,629.21 = 3,834.08/x
  3. Step 3: Cross multiply
    6,977.69x = 9,629.21 × 3,834.08
  4. Step 4: Simplify right side
    6,977.69x = 36,919,161.48
  5. Step 5: Solve for x
    x = 36,919,161.48/6,977.69
  6. Step 6: Final answer
    x = 5,291.03

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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.