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Finding the Fourth Proportional to 6,872.66, 9,484.92 and 4,183.66

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Solution

The fourth proportional to 6,872.66, 9,484.92 and 4,183.66 is: 5,773.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,872.66 : 9,484.92 = 4,183.66 : x
  2. Step 2: Convert to fraction form
    6,872.66/9,484.92 = 4,183.66/x
  3. Step 3: Cross multiply
    6,872.66x = 9,484.92 × 4,183.66
  4. Step 4: Simplify right side
    6,872.66x = 39,681,656.69
  5. Step 5: Solve for x
    x = 39,681,656.69/6,872.66
  6. Step 6: Final answer
    x = 5,773.85

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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.