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Finding the Fourth Proportional to 7,208.26, 9,947.44 and 4,021.92

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Solution

The fourth proportional to 7,208.26, 9,947.44 and 4,021.92 is: 5,550.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,208.26 : 9,947.44 = 4,021.92 : x
  2. Step 2: Convert to fraction form
    7,208.26/9,947.44 = 4,021.92/x
  3. Step 3: Cross multiply
    7,208.26x = 9,947.44 × 4,021.92
  4. Step 4: Simplify right side
    7,208.26x = 40,007,812.91
  5. Step 5: Solve for x
    x = 40,007,812.91/7,208.26
  6. Step 6: Final answer
    x = 5,550.28

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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.