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Finding the Fourth Proportional to 6,165.06, 8,509.37 and 3,805.85

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Solution

The fourth proportional to 6,165.06, 8,509.37 and 3,805.85 is: 5,253.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,165.06 : 8,509.37 = 3,805.85 : x
  2. Step 2: Convert to fraction form
    6,165.06/8,509.37 = 3,805.85/x
  3. Step 3: Cross multiply
    6,165.06x = 8,509.37 × 3,805.85
  4. Step 4: Simplify right side
    6,165.06x = 32,385,324.24
  5. Step 5: Solve for x
    x = 32,385,324.24/6,165.06
  6. Step 6: Final answer
    x = 5,253.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.