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Finding the Fourth Proportional to 6,880.38, 9,495.12 and 3,736.77

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Solution

The fourth proportional to 6,880.38, 9,495.12 and 3,736.77 is: 5,156.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,880.38 : 9,495.12 = 3,736.77 : x
  2. Step 2: Convert to fraction form
    6,880.38/9,495.12 = 3,736.77/x
  3. Step 3: Cross multiply
    6,880.38x = 9,495.12 × 3,736.77
  4. Step 4: Simplify right side
    6,880.38x = 35,481,079.56
  5. Step 5: Solve for x
    x = 35,481,079.56/6,880.38
  6. Step 6: Final answer
    x = 5,156.85

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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.