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Finding the Fourth Proportional to 6,523.58, 9,785.88 and 3,233.36

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Solution

The fourth proportional to 6,523.58, 9,785.88 and 3,233.36 is: 4,850.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.58 : 9,785.88 = 3,233.36 : x
  2. Step 2: Convert to fraction form
    6,523.58/9,785.88 = 3,233.36/x
  3. Step 3: Cross multiply
    6,523.58x = 9,785.88 × 3,233.36
  4. Step 4: Simplify right side
    6,523.58x = 31,641,297.42
  5. Step 5: Solve for x
    x = 31,641,297.42/6,523.58
  6. Step 6: Final answer
    x = 4,850.29

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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.