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Finding the Fourth Proportional to 9,400.38, 12,969.10 and 5,623.66

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Solution

The fourth proportional to 9,400.38, 12,969.10 and 5,623.66 is: 7,758.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,400.38 : 12,969.10 = 5,623.66 : x
  2. Step 2: Convert to fraction form
    9,400.38/12,969.10 = 5,623.66/x
  3. Step 3: Cross multiply
    9,400.38x = 12,969.10 × 5,623.66
  4. Step 4: Simplify right side
    9,400.38x = 72,933,715.94
  5. Step 5: Solve for x
    x = 72,933,715.94/9,400.38
  6. Step 6: Final answer
    x = 7,758.59

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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.