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Finding the Fourth Proportional to 6,450.60, 9,697.77 and 5,150.96

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Solution

The fourth proportional to 6,450.60, 9,697.77 and 5,150.96 is: 7,743.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,450.60 : 9,697.77 = 5,150.96 : x
  2. Step 2: Convert to fraction form
    6,450.60/9,697.77 = 5,150.96/x
  3. Step 3: Cross multiply
    6,450.60x = 9,697.77 × 5,150.96
  4. Step 4: Simplify right side
    6,450.60x = 49,952,825.36
  5. Step 5: Solve for x
    x = 49,952,825.36/6,450.60
  6. Step 6: Final answer
    x = 7,743.90

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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.