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Finding the Fourth Proportional to 6,286.98, 9,430.30 and 2,126.96

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Solution

The fourth proportional to 6,286.98, 9,430.30 and 2,126.96 is: 3,190.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286.98 : 9,430.30 = 2,126.96 : x
  2. Step 2: Convert to fraction form
    6,286.98/9,430.30 = 2,126.96/x
  3. Step 3: Cross multiply
    6,286.98x = 9,430.30 × 2,126.96
  4. Step 4: Simplify right side
    6,286.98x = 20,057,870.89
  5. Step 5: Solve for x
    x = 20,057,870.89/6,286.98
  6. Step 6: Final answer
    x = 3,190.38

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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.