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Finding the Fourth Proportional to 6,431.21, 9,663 and 4,092.27

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Solution

The fourth proportional to 6,431.21, 9,663 and 4,092.27 is: 6,148.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431.21 : 9,663 = 4,092.27 : x
  2. Step 2: Convert to fraction form
    6,431.21/9,663 = 4,092.27/x
  3. Step 3: Cross multiply
    6,431.21x = 9,663 × 4,092.27
  4. Step 4: Simplify right side
    6,431.21x = 39,543,605.01
  5. Step 5: Solve for x
    x = 39,543,605.01/6,431.21
  6. Step 6: Final answer
    x = 6,148.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.