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Finding the Fourth Proportional to 6,743.28, 10,099.38 and 6,509.79

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Solution

The fourth proportional to 6,743.28, 10,099.38 and 6,509.79 is: 9,749.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,743.28 : 10,099.38 = 6,509.79 : x
  2. Step 2: Convert to fraction form
    6,743.28/10,099.38 = 6,509.79/x
  3. Step 3: Cross multiply
    6,743.28x = 10,099.38 × 6,509.79
  4. Step 4: Simplify right side
    6,743.28x = 65,744,842.93
  5. Step 5: Solve for x
    x = 65,744,842.93/6,743.28
  6. Step 6: Final answer
    x = 9,749.68

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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.