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Finding the Fourth Proportional to 6,161.07, 9,242.57 and 3,695.31

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Solution

The fourth proportional to 6,161.07, 9,242.57 and 3,695.31 is: 5,543.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,161.07 : 9,242.57 = 3,695.31 : x
  2. Step 2: Convert to fraction form
    6,161.07/9,242.57 = 3,695.31/x
  3. Step 3: Cross multiply
    6,161.07x = 9,242.57 × 3,695.31
  4. Step 4: Simplify right side
    6,161.07x = 34,154,142.87
  5. Step 5: Solve for x
    x = 34,154,142.87/6,161.07
  6. Step 6: Final answer
    x = 5,543.54

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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.