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Finding the Fourth Proportional to 7,100.37, 9,797.93 and 4,076.42

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Solution

The fourth proportional to 7,100.37, 9,797.93 and 4,076.42 is: 5,625.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,100.37 : 9,797.93 = 4,076.42 : x
  2. Step 2: Convert to fraction form
    7,100.37/9,797.93 = 4,076.42/x
  3. Step 3: Cross multiply
    7,100.37x = 9,797.93 × 4,076.42
  4. Step 4: Simplify right side
    7,100.37x = 39,940,408.44
  5. Step 5: Solve for x
    x = 39,940,408.44/7,100.37
  6. Step 6: Final answer
    x = 5,625.12

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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.