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Finding the Fourth Proportional to 6,481.19, 8,945.32 and 4,209.36

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Solution

The fourth proportional to 6,481.19, 8,945.32 and 4,209.36 is: 5,809.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481.19 : 8,945.32 = 4,209.36 : x
  2. Step 2: Convert to fraction form
    6,481.19/8,945.32 = 4,209.36/x
  3. Step 3: Cross multiply
    6,481.19x = 8,945.32 × 4,209.36
  4. Step 4: Simplify right side
    6,481.19x = 37,654,037.99
  5. Step 5: Solve for x
    x = 37,654,037.99/6,481.19
  6. Step 6: Final answer
    x = 5,809.74

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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.