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Finding the Fourth Proportional to 6,096.26, 9,142.58 and 2,586.22

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Solution

The fourth proportional to 6,096.26, 9,142.58 and 2,586.22 is: 3,878.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.26 : 9,142.58 = 2,586.22 : x
  2. Step 2: Convert to fraction form
    6,096.26/9,142.58 = 2,586.22/x
  3. Step 3: Cross multiply
    6,096.26x = 9,142.58 × 2,586.22
  4. Step 4: Simplify right side
    6,096.26x = 23,644,664.60
  5. Step 5: Solve for x
    x = 23,644,664.60/6,096.26
  6. Step 6: Final answer
    x = 3,878.56

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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.