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Finding the Fourth Proportional to 6,815.09, 9,404.91 and 3,830.75

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Solution

The fourth proportional to 6,815.09, 9,404.91 and 3,830.75 is: 5,286.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,815.09 : 9,404.91 = 3,830.75 : x
  2. Step 2: Convert to fraction form
    6,815.09/9,404.91 = 3,830.75/x
  3. Step 3: Cross multiply
    6,815.09x = 9,404.91 × 3,830.75
  4. Step 4: Simplify right side
    6,815.09x = 36,027,835.47
  5. Step 5: Solve for x
    x = 36,027,835.47/6,815.09
  6. Step 6: Final answer
    x = 5,286.48

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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.