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Finding the Fourth Proportional to 8,429.80, 11,574.17 and 6,845.80

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Solution

The fourth proportional to 8,429.80, 11,574.17 and 6,845.80 is: 9,399.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,429.80 : 11,574.17 = 6,845.80 : x
  2. Step 2: Convert to fraction form
    8,429.80/11,574.17 = 6,845.80/x
  3. Step 3: Cross multiply
    8,429.80x = 11,574.17 × 6,845.80
  4. Step 4: Simplify right side
    8,429.80x = 79,234,452.99
  5. Step 5: Solve for x
    x = 79,234,452.99/8,429.80
  6. Step 6: Final answer
    x = 9,399.33

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.