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Finding the Fourth Proportional to 6,095.07, 9,143.97 and 2,199.48

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Solution

The fourth proportional to 6,095.07, 9,143.97 and 2,199.48 is: 3,299.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,095.07 : 9,143.97 = 2,199.48 : x
  2. Step 2: Convert to fraction form
    6,095.07/9,143.97 = 2,199.48/x
  3. Step 3: Cross multiply
    6,095.07x = 9,143.97 × 2,199.48
  4. Step 4: Simplify right side
    6,095.07x = 20,111,979.14
  5. Step 5: Solve for x
    x = 20,111,979.14/6,095.07
  6. Step 6: Final answer
    x = 3,299.71

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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.