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Finding the Fourth Proportional to 7,103.91, 9,801.81 and 4,744.38

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Solution

The fourth proportional to 7,103.91, 9,801.81 and 4,744.38 is: 6,546.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,103.91 : 9,801.81 = 4,744.38 : x
  2. Step 2: Convert to fraction form
    7,103.91/9,801.81 = 4,744.38/x
  3. Step 3: Cross multiply
    7,103.91x = 9,801.81 × 4,744.38
  4. Step 4: Simplify right side
    7,103.91x = 46,503,511.33
  5. Step 5: Solve for x
    x = 46,503,511.33/7,103.91
  6. Step 6: Final answer
    x = 6,546.19

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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.