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Finding the Fourth Proportional to 7,104.41, 9,804.15 and 3,917.83

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Solution

The fourth proportional to 7,104.41, 9,804.15 and 3,917.83 is: 5,406.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,104.41 : 9,804.15 = 3,917.83 : x
  2. Step 2: Convert to fraction form
    7,104.41/9,804.15 = 3,917.83/x
  3. Step 3: Cross multiply
    7,104.41x = 9,804.15 × 3,917.83
  4. Step 4: Simplify right side
    7,104.41x = 38,410,992.99
  5. Step 5: Solve for x
    x = 38,410,992.99/7,104.41
  6. Step 6: Final answer
    x = 5,406.64

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Why These Related Problems?

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