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Finding the Fourth Proportional to 6,166.72, 8,509.20 and 3,514.24

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Solution

The fourth proportional to 6,166.72, 8,509.20 and 3,514.24 is: 4,849.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,166.72 : 8,509.20 = 3,514.24 : x
  2. Step 2: Convert to fraction form
    6,166.72/8,509.20 = 3,514.24/x
  3. Step 3: Cross multiply
    6,166.72x = 8,509.20 × 3,514.24
  4. Step 4: Simplify right side
    6,166.72x = 29,903,371.01
  5. Step 5: Solve for x
    x = 29,903,371.01/6,166.72
  6. Step 6: Final answer
    x = 4,849.15

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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.