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Finding the Fourth Proportional to 6,096.34, 9,142.63 and 3,173.05

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Solution

The fourth proportional to 6,096.34, 9,142.63 and 3,173.05 is: 4,758.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.34 : 9,142.63 = 3,173.05 : x
  2. Step 2: Convert to fraction form
    6,096.34/9,142.63 = 3,173.05/x
  3. Step 3: Cross multiply
    6,096.34x = 9,142.63 × 3,173.05
  4. Step 4: Simplify right side
    6,096.34x = 29,010,022.12
  5. Step 5: Solve for x
    x = 29,010,022.12/6,096.34
  6. Step 6: Final answer
    x = 4,758.60

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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.