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Finding the Fourth Proportional to 9,390.38, 12,958.74 and 5,198.90

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Solution

The fourth proportional to 9,390.38, 12,958.74 and 5,198.90 is: 7,174.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,390.38 : 12,958.74 = 5,198.90 : x
  2. Step 2: Convert to fraction form
    9,390.38/12,958.74 = 5,198.90/x
  3. Step 3: Cross multiply
    9,390.38x = 12,958.74 × 5,198.90
  4. Step 4: Simplify right side
    9,390.38x = 67,371,128.59
  5. Step 5: Solve for x
    x = 67,371,128.59/9,390.38
  6. Step 6: Final answer
    x = 7,174.49

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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.