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Finding the Fourth Proportional to 6,296.74, 9,446.25 and 3,176.85

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Solution

The fourth proportional to 6,296.74, 9,446.25 and 3,176.85 is: 4,765.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.74 : 9,446.25 = 3,176.85 : x
  2. Step 2: Convert to fraction form
    6,296.74/9,446.25 = 3,176.85/x
  3. Step 3: Cross multiply
    6,296.74x = 9,446.25 × 3,176.85
  4. Step 4: Simplify right side
    6,296.74x = 30,009,260.14
  5. Step 5: Solve for x
    x = 30,009,260.14/6,296.74
  6. Step 6: Final answer
    x = 4,765.84

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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.