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Finding the Fourth Proportional to 6,191.93, 9,289.04 and 2,032.17

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Solution

The fourth proportional to 6,191.93, 9,289.04 and 2,032.17 is: 3,048.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,191.93 : 9,289.04 = 2,032.17 : x
  2. Step 2: Convert to fraction form
    6,191.93/9,289.04 = 2,032.17/x
  3. Step 3: Cross multiply
    6,191.93x = 9,289.04 × 2,032.17
  4. Step 4: Simplify right side
    6,191.93x = 18,876,898.26
  5. Step 5: Solve for x
    x = 18,876,898.26/6,191.93
  6. Step 6: Final answer
    x = 3,048.63

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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.