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Finding the Fourth Proportional to 6,446.80, 9,670.32 and 5,163.76

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Solution

The fourth proportional to 6,446.80, 9,670.32 and 5,163.76 is: 7,745.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.80 : 9,670.32 = 5,163.76 : x
  2. Step 2: Convert to fraction form
    6,446.80/9,670.32 = 5,163.76/x
  3. Step 3: Cross multiply
    6,446.80x = 9,670.32 × 5,163.76
  4. Step 4: Simplify right side
    6,446.80x = 49,935,211.60
  5. Step 5: Solve for x
    x = 49,935,211.60/6,446.80
  6. Step 6: Final answer
    x = 7,745.74

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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.