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Finding the Fourth Proportional to 9,396.38, 12,969.16 and 5,858.92

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Solution

The fourth proportional to 9,396.38, 12,969.16 and 5,858.92 is: 8,086.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,396.38 : 12,969.16 = 5,858.92 : x
  2. Step 2: Convert to fraction form
    9,396.38/12,969.16 = 5,858.92/x
  3. Step 3: Cross multiply
    9,396.38x = 12,969.16 × 5,858.92
  4. Step 4: Simplify right side
    9,396.38x = 75,985,270.91
  5. Step 5: Solve for x
    x = 75,985,270.91/9,396.38
  6. Step 6: Final answer
    x = 8,086.65

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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.