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Finding the Fourth Proportional to 6,423.73, 9,617.38 and 4,205.15

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Solution

The fourth proportional to 6,423.73, 9,617.38 and 4,205.15 is: 6,295.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,423.73 : 9,617.38 = 4,205.15 : x
  2. Step 2: Convert to fraction form
    6,423.73/9,617.38 = 4,205.15/x
  3. Step 3: Cross multiply
    6,423.73x = 9,617.38 × 4,205.15
  4. Step 4: Simplify right side
    6,423.73x = 40,442,504.48
  5. Step 5: Solve for x
    x = 40,442,504.48/6,423.73
  6. Step 6: Final answer
    x = 6,295.80

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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.