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Finding the Fourth Proportional to 6,976.34, 9,633.60 and 5,204.87

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Solution

The fourth proportional to 6,976.34, 9,633.60 and 5,204.87 is: 7,187.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,976.34 : 9,633.60 = 5,204.87 : x
  2. Step 2: Convert to fraction form
    6,976.34/9,633.60 = 5,204.87/x
  3. Step 3: Cross multiply
    6,976.34x = 9,633.60 × 5,204.87
  4. Step 4: Simplify right side
    6,976.34x = 50,141,635.63
  5. Step 5: Solve for x
    x = 50,141,635.63/6,976.34
  6. Step 6: Final answer
    x = 7,187.38

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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.