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Finding the Fourth Proportional to 6,682.16, 9,220.33 and 3,849.66

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Solution

The fourth proportional to 6,682.16, 9,220.33 and 3,849.66 is: 5,311.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,682.16 : 9,220.33 = 3,849.66 : x
  2. Step 2: Convert to fraction form
    6,682.16/9,220.33 = 3,849.66/x
  3. Step 3: Cross multiply
    6,682.16x = 9,220.33 × 3,849.66
  4. Step 4: Simplify right side
    6,682.16x = 35,495,070.24
  5. Step 5: Solve for x
    x = 35,495,070.24/6,682.16
  6. Step 6: Final answer
    x = 5,311.92

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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.