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Finding the Fourth Proportional to 6,096.69, 9,143.82 and 1,713.24

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Solution

The fourth proportional to 6,096.69, 9,143.82 and 1,713.24 is: 2,569.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.69 : 9,143.82 = 1,713.24 : x
  2. Step 2: Convert to fraction form
    6,096.69/9,143.82 = 1,713.24/x
  3. Step 3: Cross multiply
    6,096.69x = 9,143.82 × 1,713.24
  4. Step 4: Simplify right side
    6,096.69x = 15,665,558.18
  5. Step 5: Solve for x
    x = 15,665,558.18/6,096.69
  6. Step 6: Final answer
    x = 2,569.52

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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.