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Finding the Fourth Proportional to 9,920.38, 13,690.11 and 5,444.41

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Solution

The fourth proportional to 9,920.38, 13,690.11 and 5,444.41 is: 7,513.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,920.38 : 13,690.11 = 5,444.41 : x
  2. Step 2: Convert to fraction form
    9,920.38/13,690.11 = 5,444.41/x
  3. Step 3: Cross multiply
    9,920.38x = 13,690.11 × 5,444.41
  4. Step 4: Simplify right side
    9,920.38x = 74,534,571.79
  5. Step 5: Solve for x
    x = 74,534,571.79/9,920.38
  6. Step 6: Final answer
    x = 7,513.28

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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.