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Finding the Fourth Proportional to 6,095.57, 9,145.76 and 2,586.33

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Solution

The fourth proportional to 6,095.57, 9,145.76 and 2,586.33 is: 3,880.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,095.57 : 9,145.76 = 2,586.33 : x
  2. Step 2: Convert to fraction form
    6,095.57/9,145.76 = 2,586.33/x
  3. Step 3: Cross multiply
    6,095.57x = 9,145.76 × 2,586.33
  4. Step 4: Simplify right side
    6,095.57x = 23,653,940.53
  5. Step 5: Solve for x
    x = 23,653,940.53/6,095.57
  6. Step 6: Final answer
    x = 3,880.52

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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.