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Finding the Fourth Proportional to 6,321.63, 8,723.84 and 3,669.15

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Solution

The fourth proportional to 6,321.63, 8,723.84 and 3,669.15 is: 5,063.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,321.63 : 8,723.84 = 3,669.15 : x
  2. Step 2: Convert to fraction form
    6,321.63/8,723.84 = 3,669.15/x
  3. Step 3: Cross multiply
    6,321.63x = 8,723.84 × 3,669.15
  4. Step 4: Simplify right side
    6,321.63x = 32,009,059.19
  5. Step 5: Solve for x
    x = 32,009,059.19/6,321.63
  6. Step 6: Final answer
    x = 5,063.42

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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.