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Finding the Fourth Proportional to 6,910.47, 9,536.34 and 3,766.59

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Solution

The fourth proportional to 6,910.47, 9,536.34 and 3,766.59 is: 5,197.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,910.47 : 9,536.34 = 3,766.59 : x
  2. Step 2: Convert to fraction form
    6,910.47/9,536.34 = 3,766.59/x
  3. Step 3: Cross multiply
    6,910.47x = 9,536.34 × 3,766.59
  4. Step 4: Simplify right side
    6,910.47x = 35,919,482.88
  5. Step 5: Solve for x
    x = 35,919,482.88/6,910.47
  6. Step 6: Final answer
    x = 5,197.84

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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.