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Finding the Fourth Proportional to 6,314.93, 8,716.52 and 3,662.99

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Solution

The fourth proportional to 6,314.93, 8,716.52 and 3,662.99 is: 5,056.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.93 : 8,716.52 = 3,662.99 : x
  2. Step 2: Convert to fraction form
    6,314.93/8,716.52 = 3,662.99/x
  3. Step 3: Cross multiply
    6,314.93x = 8,716.52 × 3,662.99
  4. Step 4: Simplify right side
    6,314.93x = 31,928,507.28
  5. Step 5: Solve for x
    x = 31,928,507.28/6,314.93
  6. Step 6: Final answer
    x = 5,056.04

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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.