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Finding the Fourth Proportional to 7,203.50, 9,940.83 and 3,891.50

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Solution

The fourth proportional to 7,203.50, 9,940.83 and 3,891.50 is: 5,370.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,203.50 : 9,940.83 = 3,891.50 : x
  2. Step 2: Convert to fraction form
    7,203.50/9,940.83 = 3,891.50/x
  3. Step 3: Cross multiply
    7,203.50x = 9,940.83 × 3,891.50
  4. Step 4: Simplify right side
    7,203.50x = 38,684,739.95
  5. Step 5: Solve for x
    x = 38,684,739.95/7,203.50
  6. Step 6: Final answer
    x = 5,370.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.