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Finding the Fourth Proportional to 6,338.24, 9,550.64 and 5,209.28

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Solution

The fourth proportional to 6,338.24, 9,550.64 and 5,209.28 is: 7,849.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.24 : 9,550.64 = 5,209.28 : x
  2. Step 2: Convert to fraction form
    6,338.24/9,550.64 = 5,209.28/x
  3. Step 3: Cross multiply
    6,338.24x = 9,550.64 × 5,209.28
  4. Step 4: Simplify right side
    6,338.24x = 49,751,957.94
  5. Step 5: Solve for x
    x = 49,751,957.94/6,338.24
  6. Step 6: Final answer
    x = 7,849.49

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.