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Finding the Fourth Proportional to 6,369.16, 9,544.04 and 3,078.30

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Solution

The fourth proportional to 6,369.16, 9,544.04 and 3,078.30 is: 4,612.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,369.16 : 9,544.04 = 3,078.30 : x
  2. Step 2: Convert to fraction form
    6,369.16/9,544.04 = 3,078.30/x
  3. Step 3: Cross multiply
    6,369.16x = 9,544.04 × 3,078.30
  4. Step 4: Simplify right side
    6,369.16x = 29,379,418.33
  5. Step 5: Solve for x
    x = 29,379,418.33/6,369.16
  6. Step 6: Final answer
    x = 4,612.76

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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.