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Finding the Fourth Proportional to 6,096.30, 9,144.48 and 1,713.84

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Solution

The fourth proportional to 6,096.30, 9,144.48 and 1,713.84 is: 2,570.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.30 : 9,144.48 = 1,713.84 : x
  2. Step 2: Convert to fraction form
    6,096.30/9,144.48 = 1,713.84/x
  3. Step 3: Cross multiply
    6,096.30x = 9,144.48 × 1,713.84
  4. Step 4: Simplify right side
    6,096.30x = 15,672,175.60
  5. Step 5: Solve for x
    x = 15,672,175.60/6,096.30
  6. Step 6: Final answer
    x = 2,570.77

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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.