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Finding the Fourth Proportional to 6,096.93, 9,145.75 and 1,714.73

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Solution

The fourth proportional to 6,096.93, 9,145.75 and 1,714.73 is: 2,572.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.93 : 9,145.75 = 1,714.73 : x
  2. Step 2: Convert to fraction form
    6,096.93/9,145.75 = 1,714.73/x
  3. Step 3: Cross multiply
    6,096.93x = 9,145.75 × 1,714.73
  4. Step 4: Simplify right side
    6,096.93x = 15,682,491.90
  5. Step 5: Solve for x
    x = 15,682,491.90/6,096.93
  6. Step 6: Final answer
    x = 2,572.19

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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.