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Finding the Fourth Proportional to 6,325.75, 9,489.84 and 2,863

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Solution

The fourth proportional to 6,325.75, 9,489.84 and 2,863 is: 4,295.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,325.75 : 9,489.84 = 2,863 : x
  2. Step 2: Convert to fraction form
    6,325.75/9,489.84 = 2,863/x
  3. Step 3: Cross multiply
    6,325.75x = 9,489.84 × 2,863
  4. Step 4: Simplify right side
    6,325.75x = 27,169,411.92
  5. Step 5: Solve for x
    x = 27,169,411.92/6,325.75
  6. Step 6: Final answer
    x = 4,295.05

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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.