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Finding the Fourth Proportional to 9,355.38, 12,911.37 and 6,993.42

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Solution

The fourth proportional to 9,355.38, 12,911.37 and 6,993.42 is: 9,651.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,355.38 : 12,911.37 = 6,993.42 : x
  2. Step 2: Convert to fraction form
    9,355.38/12,911.37 = 6,993.42/x
  3. Step 3: Cross multiply
    9,355.38x = 12,911.37 × 6,993.42
  4. Step 4: Simplify right side
    9,355.38x = 90,294,633.19
  5. Step 5: Solve for x
    x = 90,294,633.19/9,355.38
  6. Step 6: Final answer
    x = 9,651.63

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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.