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Finding the Fourth Proportional to 6,096.54, 9,145.24 and 2,586.15

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Solution

The fourth proportional to 6,096.54, 9,145.24 and 2,586.15 is: 3,879.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.54 : 9,145.24 = 2,586.15 : x
  2. Step 2: Convert to fraction form
    6,096.54/9,145.24 = 2,586.15/x
  3. Step 3: Cross multiply
    6,096.54x = 9,145.24 × 2,586.15
  4. Step 4: Simplify right side
    6,096.54x = 23,650,936.91
  5. Step 5: Solve for x
    x = 23,650,936.91/6,096.54
  6. Step 6: Final answer
    x = 3,879.40

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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.