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Finding the Fourth Proportional to 6,305.10, 9,463.48 and 3,187.30

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Solution

The fourth proportional to 6,305.10, 9,463.48 and 3,187.30 is: 4,783.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,305.10 : 9,463.48 = 3,187.30 : x
  2. Step 2: Convert to fraction form
    6,305.10/9,463.48 = 3,187.30/x
  3. Step 3: Cross multiply
    6,305.10x = 9,463.48 × 3,187.30
  4. Step 4: Simplify right side
    6,305.10x = 30,162,949.80
  5. Step 5: Solve for x
    x = 30,162,949.80/6,305.10
  6. Step 6: Final answer
    x = 4,783.90

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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.