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Finding the Fourth Proportional to 6,096.40, 9,144.63 and 1,713.89

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Solution

The fourth proportional to 6,096.40, 9,144.63 and 1,713.89 is: 2,570.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.40 : 9,144.63 = 1,713.89 : x
  2. Step 2: Convert to fraction form
    6,096.40/9,144.63 = 1,713.89/x
  3. Step 3: Cross multiply
    6,096.40x = 9,144.63 × 1,713.89
  4. Step 4: Simplify right side
    6,096.40x = 15,672,912.77
  5. Step 5: Solve for x
    x = 15,672,912.77/6,096.40
  6. Step 6: Final answer
    x = 2,570.85

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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.