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Finding the Fourth Proportional to 6,536.26, 9,785.70 and 6,122.44

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Solution

The fourth proportional to 6,536.26, 9,785.70 and 6,122.44 is: 9,166.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,536.26 : 9,785.70 = 6,122.44 : x
  2. Step 2: Convert to fraction form
    6,536.26/9,785.70 = 6,122.44/x
  3. Step 3: Cross multiply
    6,536.26x = 9,785.70 × 6,122.44
  4. Step 4: Simplify right side
    6,536.26x = 59,912,361.11
  5. Step 5: Solve for x
    x = 59,912,361.11/6,536.26
  6. Step 6: Final answer
    x = 9,166.15

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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.