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Finding the Fourth Proportional to 6,910.50, 9,536.90 and 3,926.46

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Solution

The fourth proportional to 6,910.50, 9,536.90 and 3,926.46 is: 5,418.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,910.50 : 9,536.90 = 3,926.46 : x
  2. Step 2: Convert to fraction form
    6,910.50/9,536.90 = 3,926.46/x
  3. Step 3: Cross multiply
    6,910.50x = 9,536.90 × 3,926.46
  4. Step 4: Simplify right side
    6,910.50x = 37,446,256.37
  5. Step 5: Solve for x
    x = 37,446,256.37/6,910.50
  6. Step 6: Final answer
    x = 5,418.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.