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Finding the Fourth Proportional to 9,408.38, 12,980.61 and 5,428.97

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Solution

The fourth proportional to 9,408.38, 12,980.61 and 5,428.97 is: 7,490.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,408.38 : 12,980.61 = 5,428.97 : x
  2. Step 2: Convert to fraction form
    9,408.38/12,980.61 = 5,428.97/x
  3. Step 3: Cross multiply
    9,408.38x = 12,980.61 × 5,428.97
  4. Step 4: Simplify right side
    9,408.38x = 70,471,342.27
  5. Step 5: Solve for x
    x = 70,471,342.27/9,408.38
  6. Step 6: Final answer
    x = 7,490.27

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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.