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Finding the Fourth Proportional to 6,165.83, 9,257.34 and 3,165.97

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Solution

The fourth proportional to 6,165.83, 9,257.34 and 3,165.97 is: 4,753.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,165.83 : 9,257.34 = 3,165.97 : x
  2. Step 2: Convert to fraction form
    6,165.83/9,257.34 = 3,165.97/x
  3. Step 3: Cross multiply
    6,165.83x = 9,257.34 × 3,165.97
  4. Step 4: Simplify right side
    6,165.83x = 29,308,460.72
  5. Step 5: Solve for x
    x = 29,308,460.72/6,165.83
  6. Step 6: Final answer
    x = 4,753.37

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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.