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Finding the Fourth Proportional to 6,910.42, 9,536.40 and 3,926.26

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Solution

The fourth proportional to 6,910.42, 9,536.40 and 3,926.26 is: 5,418.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,910.42 : 9,536.40 = 3,926.26 : x
  2. Step 2: Convert to fraction form
    6,910.42/9,536.40 = 3,926.26/x
  3. Step 3: Cross multiply
    6,910.42x = 9,536.40 × 3,926.26
  4. Step 4: Simplify right side
    6,910.42x = 37,442,385.86
  5. Step 5: Solve for x
    x = 37,442,385.86/6,910.42
  6. Step 6: Final answer
    x = 5,418.25

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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.