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Finding the Fourth Proportional to 6,974.33, 9,624.75 and 3,830.59

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Solution

The fourth proportional to 6,974.33, 9,624.75 and 3,830.59 is: 5,286.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,974.33 : 9,624.75 = 3,830.59 : x
  2. Step 2: Convert to fraction form
    6,974.33/9,624.75 = 3,830.59/x
  3. Step 3: Cross multiply
    6,974.33x = 9,624.75 × 3,830.59
  4. Step 4: Simplify right side
    6,974.33x = 36,868,447.04
  5. Step 5: Solve for x
    x = 36,868,447.04/6,974.33
  6. Step 6: Final answer
    x = 5,286.30

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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.