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Finding the Fourth Proportional to 6,286.72, 9,430.24 and 2,182.72

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Solution

The fourth proportional to 6,286.72, 9,430.24 and 2,182.72 is: 3,274.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286.72 : 9,430.24 = 2,182.72 : x
  2. Step 2: Convert to fraction form
    6,286.72/9,430.24 = 2,182.72/x
  3. Step 3: Cross multiply
    6,286.72x = 9,430.24 × 2,182.72
  4. Step 4: Simplify right side
    6,286.72x = 20,583,573.45
  5. Step 5: Solve for x
    x = 20,583,573.45/6,286.72
  6. Step 6: Final answer
    x = 3,274.14

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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.