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Finding the Fourth Proportional to 6,912.94, 9,536.77 and 4,259.38

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Solution

The fourth proportional to 6,912.94, 9,536.77 and 4,259.38 is: 5,876.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,912.94 : 9,536.77 = 4,259.38 : x
  2. Step 2: Convert to fraction form
    6,912.94/9,536.77 = 4,259.38/x
  3. Step 3: Cross multiply
    6,912.94x = 9,536.77 × 4,259.38
  4. Step 4: Simplify right side
    6,912.94x = 40,620,727.40
  5. Step 5: Solve for x
    x = 40,620,727.40/6,912.94
  6. Step 6: Final answer
    x = 5,876.04

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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.