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Finding the Fourth Proportional to 6,755.32, 9,325.38 and 3,961

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Solution

The fourth proportional to 6,755.32, 9,325.38 and 3,961 is: 5,467.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,755.32 : 9,325.38 = 3,961 : x
  2. Step 2: Convert to fraction form
    6,755.32/9,325.38 = 3,961/x
  3. Step 3: Cross multiply
    6,755.32x = 9,325.38 × 3,961
  4. Step 4: Simplify right side
    6,755.32x = 36,937,830.18
  5. Step 5: Solve for x
    x = 36,937,830.18/6,755.32
  6. Step 6: Final answer
    x = 5,467.96

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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.