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Finding the Fourth Proportional to 6,906.75, 9,537.41 and 5,135.28

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Solution

The fourth proportional to 6,906.75, 9,537.41 and 5,135.28 is: 7,091.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.75 : 9,537.41 = 5,135.28 : x
  2. Step 2: Convert to fraction form
    6,906.75/9,537.41 = 5,135.28/x
  3. Step 3: Cross multiply
    6,906.75x = 9,537.41 × 5,135.28
  4. Step 4: Simplify right side
    6,906.75x = 48,977,223.14
  5. Step 5: Solve for x
    x = 48,977,223.14/6,906.75
  6. Step 6: Final answer
    x = 7,091.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.