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Finding the Fourth Proportional to 6,165.91, 8,509.51 and 3,514.17

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Solution

The fourth proportional to 6,165.91, 8,509.51 and 3,514.17 is: 4,849.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,165.91 : 8,509.51 = 3,514.17 : x
  2. Step 2: Convert to fraction form
    6,165.91/8,509.51 = 3,514.17/x
  3. Step 3: Cross multiply
    6,165.91x = 8,509.51 × 3,514.17
  4. Step 4: Simplify right side
    6,165.91x = 29,903,833.43
  5. Step 5: Solve for x
    x = 29,903,833.43/6,165.91
  6. Step 6: Final answer
    x = 4,849.87

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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.