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Finding the Fourth Proportional to 6,467.87, 9,705.45 and 3,181.30

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Solution

The fourth proportional to 6,467.87, 9,705.45 and 3,181.30 is: 4,773.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467.87 : 9,705.45 = 3,181.30 : x
  2. Step 2: Convert to fraction form
    6,467.87/9,705.45 = 3,181.30/x
  3. Step 3: Cross multiply
    6,467.87x = 9,705.45 × 3,181.30
  4. Step 4: Simplify right side
    6,467.87x = 30,875,948.09
  5. Step 5: Solve for x
    x = 30,875,948.09/6,467.87
  6. Step 6: Final answer
    x = 4,773.74

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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.