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Finding the Fourth Proportional to 6,286.80, 9,430.22 and 2,126.84

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Solution

The fourth proportional to 6,286.80, 9,430.22 and 2,126.84 is: 3,190.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286.80 : 9,430.22 = 2,126.84 : x
  2. Step 2: Convert to fraction form
    6,286.80/9,430.22 = 2,126.84/x
  3. Step 3: Cross multiply
    6,286.80x = 9,430.22 × 2,126.84
  4. Step 4: Simplify right side
    6,286.80x = 20,056,569.10
  5. Step 5: Solve for x
    x = 20,056,569.10/6,286.80
  6. Step 6: Final answer
    x = 3,190.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.