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Finding the Fourth Proportional to 6,243.67, 9,364.85 and 2,083.22

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Solution

The fourth proportional to 6,243.67, 9,364.85 and 2,083.22 is: 3,124.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,243.67 : 9,364.85 = 2,083.22 : x
  2. Step 2: Convert to fraction form
    6,243.67/9,364.85 = 2,083.22/x
  3. Step 3: Cross multiply
    6,243.67x = 9,364.85 × 2,083.22
  4. Step 4: Simplify right side
    6,243.67x = 19,509,028.51
  5. Step 5: Solve for x
    x = 19,509,028.51/6,243.67
  6. Step 6: Final answer
    x = 3,124.61

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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.