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Finding the Fourth Proportional to 6,224.91, 9,343.23 and 4,146.38

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Solution

The fourth proportional to 6,224.91, 9,343.23 and 4,146.38 is: 6,223.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,224.91 : 9,343.23 = 4,146.38 : x
  2. Step 2: Convert to fraction form
    6,224.91/9,343.23 = 4,146.38/x
  3. Step 3: Cross multiply
    6,224.91x = 9,343.23 × 4,146.38
  4. Step 4: Simplify right side
    6,224.91x = 38,740,514.56
  5. Step 5: Solve for x
    x = 38,740,514.56/6,224.91
  6. Step 6: Final answer
    x = 6,223.47

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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.