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Finding the Fourth Proportional to 9,201.40, 13,804.12 and 3,357.98

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Solution

The fourth proportional to 9,201.40, 13,804.12 and 3,357.98 is: 5,037.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.40 : 13,804.12 = 3,357.98 : x
  2. Step 2: Convert to fraction form
    9,201.40/13,804.12 = 3,357.98/x
  3. Step 3: Cross multiply
    9,201.40x = 13,804.12 × 3,357.98
  4. Step 4: Simplify right side
    9,201.40x = 46,353,958.88
  5. Step 5: Solve for x
    x = 46,353,958.88/9,201.40
  6. Step 6: Final answer
    x = 5,037.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.