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Finding the Fourth Proportional to 6,161.57, 9,242.36 and 3,693.30

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Solution

The fourth proportional to 6,161.57, 9,242.36 and 3,693.30 is: 5,539.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,161.57 : 9,242.36 = 3,693.30 : x
  2. Step 2: Convert to fraction form
    6,161.57/9,242.36 = 3,693.30/x
  3. Step 3: Cross multiply
    6,161.57x = 9,242.36 × 3,693.30
  4. Step 4: Simplify right side
    6,161.57x = 34,134,789.72
  5. Step 5: Solve for x
    x = 34,134,789.72/6,161.57
  6. Step 6: Final answer
    x = 5,539.95

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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.