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Finding the Fourth Proportional to 6,523.34, 9,785.53 and 1,843.38

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Solution

The fourth proportional to 6,523.34, 9,785.53 and 1,843.38 is: 2,765.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.34 : 9,785.53 = 1,843.38 : x
  2. Step 2: Convert to fraction form
    6,523.34/9,785.53 = 1,843.38/x
  3. Step 3: Cross multiply
    6,523.34x = 9,785.53 × 1,843.38
  4. Step 4: Simplify right side
    6,523.34x = 18,038,505.94
  5. Step 5: Solve for x
    x = 18,038,505.94/6,523.34
  6. Step 6: Final answer
    x = 2,765.23

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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.