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Finding the Fourth Proportional to 6,729.43, 9,286.83 and 4,210.74

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Solution

The fourth proportional to 6,729.43, 9,286.83 and 4,210.74 is: 5,810.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,729.43 : 9,286.83 = 4,210.74 : x
  2. Step 2: Convert to fraction form
    6,729.43/9,286.83 = 4,210.74/x
  3. Step 3: Cross multiply
    6,729.43x = 9,286.83 × 4,210.74
  4. Step 4: Simplify right side
    6,729.43x = 39,104,426.55
  5. Step 5: Solve for x
    x = 39,104,426.55/6,729.43
  6. Step 6: Final answer
    x = 5,810.96

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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.