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Finding the Fourth Proportional to 6,235.82, 9,346.67 and 2,074.85

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Solution

The fourth proportional to 6,235.82, 9,346.67 and 2,074.85 is: 3,109.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,235.82 : 9,346.67 = 2,074.85 : x
  2. Step 2: Convert to fraction form
    6,235.82/9,346.67 = 2,074.85/x
  3. Step 3: Cross multiply
    6,235.82x = 9,346.67 × 2,074.85
  4. Step 4: Simplify right side
    6,235.82x = 19,392,938.25
  5. Step 5: Solve for x
    x = 19,392,938.25/6,235.82
  6. Step 6: Final answer
    x = 3,109.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.