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Finding the Fourth Proportional to 6,096.12, 9,144.17 and 1,713.57

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Solution

The fourth proportional to 6,096.12, 9,144.17 and 1,713.57 is: 2,570.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.12 : 9,144.17 = 1,713.57 : x
  2. Step 2: Convert to fraction form
    6,096.12/9,144.17 = 1,713.57/x
  3. Step 3: Cross multiply
    6,096.12x = 9,144.17 × 1,713.57
  4. Step 4: Simplify right side
    6,096.12x = 15,669,202.53
  5. Step 5: Solve for x
    x = 15,669,202.53/6,096.12
  6. Step 6: Final answer
    x = 2,570.36

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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.