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Finding the Fourth Proportional to 6,431.08, 9,694.82 and 6,002.44

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Solution

The fourth proportional to 6,431.08, 9,694.82 and 6,002.44 is: 9,048.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431.08 : 9,694.82 = 6,002.44 : x
  2. Step 2: Convert to fraction form
    6,431.08/9,694.82 = 6,002.44/x
  3. Step 3: Cross multiply
    6,431.08x = 9,694.82 × 6,002.44
  4. Step 4: Simplify right side
    6,431.08x = 58,192,566.13
  5. Step 5: Solve for x
    x = 58,192,566.13/6,431.08
  6. Step 6: Final answer
    x = 9,048.64

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.