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Finding the Fourth Proportional to 6,149.25, 9,265.78 and 5,477.91

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Solution

The fourth proportional to 6,149.25, 9,265.78 and 5,477.91 is: 8,254.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149.25 : 9,265.78 = 5,477.91 : x
  2. Step 2: Convert to fraction form
    6,149.25/9,265.78 = 5,477.91/x
  3. Step 3: Cross multiply
    6,149.25x = 9,265.78 × 5,477.91
  4. Step 4: Simplify right side
    6,149.25x = 50,757,102.33
  5. Step 5: Solve for x
    x = 50,757,102.33/6,149.25
  6. Step 6: Final answer
    x = 8,254.19

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.