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Finding the Fourth Proportional to 6,256.26, 9,385.67 and 2,096.30

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Solution

The fourth proportional to 6,256.26, 9,385.67 and 2,096.30 is: 3,144.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,256.26 : 9,385.67 = 2,096.30 : x
  2. Step 2: Convert to fraction form
    6,256.26/9,385.67 = 2,096.30/x
  3. Step 3: Cross multiply
    6,256.26x = 9,385.67 × 2,096.30
  4. Step 4: Simplify right side
    6,256.26x = 19,675,180.02
  5. Step 5: Solve for x
    x = 19,675,180.02/6,256.26
  6. Step 6: Final answer
    x = 3,144.88

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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.