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Finding the Fourth Proportional to 6,881.15, 9,474.41 and 6,072.77

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Solution

The fourth proportional to 6,881.15, 9,474.41 and 6,072.77 is: 8,361.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,881.15 : 9,474.41 = 6,072.77 : x
  2. Step 2: Convert to fraction form
    6,881.15/9,474.41 = 6,072.77/x
  3. Step 3: Cross multiply
    6,881.15x = 9,474.41 × 6,072.77
  4. Step 4: Simplify right side
    6,881.15x = 57,535,882.45
  5. Step 5: Solve for x
    x = 57,535,882.45/6,881.15
  6. Step 6: Final answer
    x = 8,361.38

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Why These Related Problems?

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