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Finding the Fourth Proportional to 6,968.45, 9,615.82 and 4,135.33

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Solution

The fourth proportional to 6,968.45, 9,615.82 and 4,135.33 is: 5,706.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,968.45 : 9,615.82 = 4,135.33 : x
  2. Step 2: Convert to fraction form
    6,968.45/9,615.82 = 4,135.33/x
  3. Step 3: Cross multiply
    6,968.45x = 9,615.82 × 4,135.33
  4. Step 4: Simplify right side
    6,968.45x = 39,764,588.92
  5. Step 5: Solve for x
    x = 39,764,588.92/6,968.45
  6. Step 6: Final answer
    x = 5,706.38

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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.