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Finding the Fourth Proportional to 6,304.37, 9,451.08 and 3,181.77

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Solution

The fourth proportional to 6,304.37, 9,451.08 and 3,181.77 is: 4,769.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,304.37 : 9,451.08 = 3,181.77 : x
  2. Step 2: Convert to fraction form
    6,304.37/9,451.08 = 3,181.77/x
  3. Step 3: Cross multiply
    6,304.37x = 9,451.08 × 3,181.77
  4. Step 4: Simplify right side
    6,304.37x = 30,071,162.81
  5. Step 5: Solve for x
    x = 30,071,162.81/6,304.37
  6. Step 6: Final answer
    x = 4,769.90

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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.