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Finding the Fourth Proportional to 6,175.48, 9,249.18 and 5,138.68

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Solution

The fourth proportional to 6,175.48, 9,249.18 and 5,138.68 is: 7,696.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,175.48 : 9,249.18 = 5,138.68 : x
  2. Step 2: Convert to fraction form
    6,175.48/9,249.18 = 5,138.68/x
  3. Step 3: Cross multiply
    6,175.48x = 9,249.18 × 5,138.68
  4. Step 4: Simplify right side
    6,175.48x = 47,528,576.28
  5. Step 5: Solve for x
    x = 47,528,576.28/6,175.48
  6. Step 6: Final answer
    x = 7,696.34

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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.