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Finding the Fourth Proportional to 6,357.56, 9,536.76 and 2,197.97

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Solution

The fourth proportional to 6,357.56, 9,536.76 and 2,197.97 is: 3,297.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,357.56 : 9,536.76 = 2,197.97 : x
  2. Step 2: Convert to fraction form
    6,357.56/9,536.76 = 2,197.97/x
  3. Step 3: Cross multiply
    6,357.56x = 9,536.76 × 2,197.97
  4. Step 4: Simplify right side
    6,357.56x = 20,961,512.38
  5. Step 5: Solve for x
    x = 20,961,512.38/6,357.56
  6. Step 6: Final answer
    x = 3,297.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.