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Finding the Fourth Proportional to 6,964.22, 9,610.62 and 3,820.41

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Solution

The fourth proportional to 6,964.22, 9,610.62 and 3,820.41 is: 5,272.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,964.22 : 9,610.62 = 3,820.41 : x
  2. Step 2: Convert to fraction form
    6,964.22/9,610.62 = 3,820.41/x
  3. Step 3: Cross multiply
    6,964.22x = 9,610.62 × 3,820.41
  4. Step 4: Simplify right side
    6,964.22x = 36,716,487.04
  5. Step 5: Solve for x
    x = 36,716,487.04/6,964.22
  6. Step 6: Final answer
    x = 5,272.16

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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.