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Finding the Fourth Proportional to 6,513.30, 9,767.52 and 2,616.39

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Solution

The fourth proportional to 6,513.30, 9,767.52 and 2,616.39 is: 3,923.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,513.30 : 9,767.52 = 2,616.39 : x
  2. Step 2: Convert to fraction form
    6,513.30/9,767.52 = 2,616.39/x
  3. Step 3: Cross multiply
    6,513.30x = 9,767.52 × 2,616.39
  4. Step 4: Simplify right side
    6,513.30x = 25,555,641.65
  5. Step 5: Solve for x
    x = 25,555,641.65/6,513.30
  6. Step 6: Final answer
    x = 3,923.61

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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.