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Finding the Fourth Proportional to 6,861.29, 9,462.94 and 4,206.83

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Solution

The fourth proportional to 6,861.29, 9,462.94 and 4,206.83 is: 5,801.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,861.29 : 9,462.94 = 4,206.83 : x
  2. Step 2: Convert to fraction form
    6,861.29/9,462.94 = 4,206.83/x
  3. Step 3: Cross multiply
    6,861.29x = 9,462.94 × 4,206.83
  4. Step 4: Simplify right side
    6,861.29x = 39,808,922.05
  5. Step 5: Solve for x
    x = 39,808,922.05/6,861.29
  6. Step 6: Final answer
    x = 5,801.96

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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.