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Finding the Fourth Proportional to 6,192.36, 9,289.99 and 2,032.71

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Solution

The fourth proportional to 6,192.36, 9,289.99 and 2,032.71 is: 3,049.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,192.36 : 9,289.99 = 2,032.71 : x
  2. Step 2: Convert to fraction form
    6,192.36/9,289.99 = 2,032.71/x
  3. Step 3: Cross multiply
    6,192.36x = 9,289.99 × 2,032.71
  4. Step 4: Simplify right side
    6,192.36x = 18,883,823.28
  5. Step 5: Solve for x
    x = 18,883,823.28/6,192.36
  6. Step 6: Final answer
    x = 3,049.54

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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.