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Finding the Fourth Proportional to 6,964.08, 9,610.68 and 3,820.36

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Solution

The fourth proportional to 6,964.08, 9,610.68 and 3,820.36 is: 5,272.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,964.08 : 9,610.68 = 3,820.36 : x
  2. Step 2: Convert to fraction form
    6,964.08/9,610.68 = 3,820.36/x
  3. Step 3: Cross multiply
    6,964.08x = 9,610.68 × 3,820.36
  4. Step 4: Simplify right side
    6,964.08x = 36,716,257.44
  5. Step 5: Solve for x
    x = 36,716,257.44/6,964.08
  6. Step 6: Final answer
    x = 5,272.23

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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.