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Finding the Fourth Proportional to 6,974.46, 9,624.72 and 4,179.96

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Solution

The fourth proportional to 6,974.46, 9,624.72 and 4,179.96 is: 5,768.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,974.46 : 9,624.72 = 4,179.96 : x
  2. Step 2: Convert to fraction form
    6,974.46/9,624.72 = 4,179.96/x
  3. Step 3: Cross multiply
    6,974.46x = 9,624.72 × 4,179.96
  4. Step 4: Simplify right side
    6,974.46x = 40,230,944.61
  5. Step 5: Solve for x
    x = 40,230,944.61/6,974.46
  6. Step 6: Final answer
    x = 5,768.32

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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.