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Finding the Fourth Proportional to 6,365.54, 9,550.74 and 2,472.68

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Solution

The fourth proportional to 6,365.54, 9,550.74 and 2,472.68 is: 3,709.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,365.54 : 9,550.74 = 2,472.68 : x
  2. Step 2: Convert to fraction form
    6,365.54/9,550.74 = 2,472.68/x
  3. Step 3: Cross multiply
    6,365.54x = 9,550.74 × 2,472.68
  4. Step 4: Simplify right side
    6,365.54x = 23,615,923.78
  5. Step 5: Solve for x
    x = 23,615,923.78/6,365.54
  6. Step 6: Final answer
    x = 3,709.96

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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.