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Finding the Fourth Proportional to 7,105.73, 9,804.24 and 4,119.86

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Solution

The fourth proportional to 7,105.73, 9,804.24 and 4,119.86 is: 5,684.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,105.73 : 9,804.24 = 4,119.86 : x
  2. Step 2: Convert to fraction form
    7,105.73/9,804.24 = 4,119.86/x
  3. Step 3: Cross multiply
    7,105.73x = 9,804.24 × 4,119.86
  4. Step 4: Simplify right side
    7,105.73x = 40,392,120.72
  5. Step 5: Solve for x
    x = 40,392,120.72/7,105.73
  6. Step 6: Final answer
    x = 5,684.45

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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.