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Finding the Fourth Proportional to 6,814.68, 9,405.09 and 3,830.64

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Solution

The fourth proportional to 6,814.68, 9,405.09 and 3,830.64 is: 5,286.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814.68 : 9,405.09 = 3,830.64 : x
  2. Step 2: Convert to fraction form
    6,814.68/9,405.09 = 3,830.64/x
  3. Step 3: Cross multiply
    6,814.68x = 9,405.09 × 3,830.64
  4. Step 4: Simplify right side
    6,814.68x = 36,027,513.96
  5. Step 5: Solve for x
    x = 36,027,513.96/6,814.68
  6. Step 6: Final answer
    x = 5,286.75

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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.