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Finding the Fourth Proportional to 6,334.14, 8,739.63 and 3,815.58

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Solution

The fourth proportional to 6,334.14, 8,739.63 and 3,815.58 is: 5,264.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,334.14 : 8,739.63 = 3,815.58 : x
  2. Step 2: Convert to fraction form
    6,334.14/8,739.63 = 3,815.58/x
  3. Step 3: Cross multiply
    6,334.14x = 8,739.63 × 3,815.58
  4. Step 4: Simplify right side
    6,334.14x = 33,346,757.44
  5. Step 5: Solve for x
    x = 33,346,757.44/6,334.14
  6. Step 6: Final answer
    x = 5,264.61

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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.