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Finding the Fourth Proportional to 6,523.69, 9,773.23 and 5,055.67

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Solution

The fourth proportional to 6,523.69, 9,773.23 and 5,055.67 is: 7,573.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.69 : 9,773.23 = 5,055.67 : x
  2. Step 2: Convert to fraction form
    6,523.69/9,773.23 = 5,055.67/x
  3. Step 3: Cross multiply
    6,523.69x = 9,773.23 × 5,055.67
  4. Step 4: Simplify right side
    6,523.69x = 49,410,213.92
  5. Step 5: Solve for x
    x = 49,410,213.92/6,523.69
  6. Step 6: Final answer
    x = 7,573.97

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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.