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Finding the Fourth Proportional to 6,097.71, 8,414.82 and 3,303.21

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Solution

The fourth proportional to 6,097.71, 8,414.82 and 3,303.21 is: 4,558.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.71 : 8,414.82 = 3,303.21 : x
  2. Step 2: Convert to fraction form
    6,097.71/8,414.82 = 3,303.21/x
  3. Step 3: Cross multiply
    6,097.71x = 8,414.82 × 3,303.21
  4. Step 4: Simplify right side
    6,097.71x = 27,795,917.57
  5. Step 5: Solve for x
    x = 27,795,917.57/6,097.71
  6. Step 6: Final answer
    x = 4,558.42

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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.