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Finding the Fourth Proportional to 6,369.20, 9,514.89 and 5,072.12

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Solution

The fourth proportional to 6,369.20, 9,514.89 and 5,072.12 is: 7,577.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,369.20 : 9,514.89 = 5,072.12 : x
  2. Step 2: Convert to fraction form
    6,369.20/9,514.89 = 5,072.12/x
  3. Step 3: Cross multiply
    6,369.20x = 9,514.89 × 5,072.12
  4. Step 4: Simplify right side
    6,369.20x = 48,260,663.87
  5. Step 5: Solve for x
    x = 48,260,663.87/6,369.20
  6. Step 6: Final answer
    x = 7,577.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.