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Finding the Fourth Proportional to 6,095.87, 9,136.48 and 2,585.15

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Solution

The fourth proportional to 6,095.87, 9,136.48 and 2,585.15 is: 3,874.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,095.87 : 9,136.48 = 2,585.15 : x
  2. Step 2: Convert to fraction form
    6,095.87/9,136.48 = 2,585.15/x
  3. Step 3: Cross multiply
    6,095.87x = 9,136.48 × 2,585.15
  4. Step 4: Simplify right side
    6,095.87x = 23,619,171.27
  5. Step 5: Solve for x
    x = 23,619,171.27/6,095.87
  6. Step 6: Final answer
    x = 3,874.62

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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.