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Finding the Fourth Proportional to 6,512.57, 9,769.13 and 1,895.57

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Solution

The fourth proportional to 6,512.57, 9,769.13 and 1,895.57 is: 2,843.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.57 : 9,769.13 = 1,895.57 : x
  2. Step 2: Convert to fraction form
    6,512.57/9,769.13 = 1,895.57/x
  3. Step 3: Cross multiply
    6,512.57x = 9,769.13 × 1,895.57
  4. Step 4: Simplify right side
    6,512.57x = 18,518,069.75
  5. Step 5: Solve for x
    x = 18,518,069.75/6,512.57
  6. Step 6: Final answer
    x = 2,843.44

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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.