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Finding the Fourth Proportional to 9,183.78, 12,651.12 and 6,658.47

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Solution

The fourth proportional to 9,183.78, 12,651.12 and 6,658.47 is: 9,172.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,183.78 : 12,651.12 = 6,658.47 : x
  2. Step 2: Convert to fraction form
    9,183.78/12,651.12 = 6,658.47/x
  3. Step 3: Cross multiply
    9,183.78x = 12,651.12 × 6,658.47
  4. Step 4: Simplify right side
    9,183.78x = 84,237,102.99
  5. Step 5: Solve for x
    x = 84,237,102.99/9,183.78
  6. Step 6: Final answer
    x = 9,172.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.