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Finding the Fourth Proportional to 6,350.49, 9,508.67 and 5,175.69

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Solution

The fourth proportional to 6,350.49, 9,508.67 and 5,175.69 is: 7,749.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,350.49 : 9,508.67 = 5,175.69 : x
  2. Step 2: Convert to fraction form
    6,350.49/9,508.67 = 5,175.69/x
  3. Step 3: Cross multiply
    6,350.49x = 9,508.67 × 5,175.69
  4. Step 4: Simplify right side
    6,350.49x = 49,213,928.23
  5. Step 5: Solve for x
    x = 49,213,928.23/6,350.49
  6. Step 6: Final answer
    x = 7,749.63

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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.