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Finding the Fourth Proportional to 6,143.69, 9,215.53 and 2,039.69

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Solution

The fourth proportional to 6,143.69, 9,215.53 and 2,039.69 is: 3,059.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,143.69 : 9,215.53 = 2,039.69 : x
  2. Step 2: Convert to fraction form
    6,143.69/9,215.53 = 2,039.69/x
  3. Step 3: Cross multiply
    6,143.69x = 9,215.53 × 2,039.69
  4. Step 4: Simplify right side
    6,143.69x = 18,796,806.45
  5. Step 5: Solve for x
    x = 18,796,806.45/6,143.69
  6. Step 6: Final answer
    x = 3,059.53

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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.