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Finding the Fourth Proportional to 7,194.41, 9,928.43 and 4,361.09

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Solution

The fourth proportional to 7,194.41, 9,928.43 and 4,361.09 is: 6,018.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,194.41 : 9,928.43 = 4,361.09 : x
  2. Step 2: Convert to fraction form
    7,194.41/9,928.43 = 4,361.09/x
  3. Step 3: Cross multiply
    7,194.41x = 9,928.43 × 4,361.09
  4. Step 4: Simplify right side
    7,194.41x = 43,298,754.98
  5. Step 5: Solve for x
    x = 43,298,754.98/7,194.41
  6. Step 6: Final answer
    x = 6,018.39

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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.