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Finding the Fourth Proportional to 6,523.25, 9,766.24 and 6,109.43

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Solution

The fourth proportional to 6,523.25, 9,766.24 and 6,109.43 is: 9,146.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.25 : 9,766.24 = 6,109.43 : x
  2. Step 2: Convert to fraction form
    6,523.25/9,766.24 = 6,109.43/x
  3. Step 3: Cross multiply
    6,523.25x = 9,766.24 × 6,109.43
  4. Step 4: Simplify right side
    6,523.25x = 59,666,168.79
  5. Step 5: Solve for x
    x = 59,666,168.79/6,523.25
  6. Step 6: Final answer
    x = 9,146.69

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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.