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Finding the Fourth Proportional to 6,467.72, 9,699.53 and 2,768.96

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Solution

The fourth proportional to 6,467.72, 9,699.53 and 2,768.96 is: 4,152.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467.72 : 9,699.53 = 2,768.96 : x
  2. Step 2: Convert to fraction form
    6,467.72/9,699.53 = 2,768.96/x
  3. Step 3: Cross multiply
    6,467.72x = 9,699.53 × 2,768.96
  4. Step 4: Simplify right side
    6,467.72x = 26,857,620.99
  5. Step 5: Solve for x
    x = 26,857,620.99/6,467.72
  6. Step 6: Final answer
    x = 4,152.57

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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.