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Finding the Fourth Proportional to 6,522.30, 9,786.29 and 3,233.57

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Solution

The fourth proportional to 6,522.30, 9,786.29 and 3,233.57 is: 4,851.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522.30 : 9,786.29 = 3,233.57 : x
  2. Step 2: Convert to fraction form
    6,522.30/9,786.29 = 3,233.57/x
  3. Step 3: Cross multiply
    6,522.30x = 9,786.29 × 3,233.57
  4. Step 4: Simplify right side
    6,522.30x = 31,644,588.66
  5. Step 5: Solve for x
    x = 31,644,588.66/6,522.30
  6. Step 6: Final answer
    x = 4,851.75

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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.