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Finding the Fourth Proportional to 9,205.43, 13,804.04 and 3,357.94

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Solution

The fourth proportional to 9,205.43, 13,804.04 and 3,357.94 is: 5,035.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.43 : 13,804.04 = 3,357.94 : x
  2. Step 2: Convert to fraction form
    9,205.43/13,804.04 = 3,357.94/x
  3. Step 3: Cross multiply
    9,205.43x = 13,804.04 × 3,357.94
  4. Step 4: Simplify right side
    9,205.43x = 46,353,138.08
  5. Step 5: Solve for x
    x = 46,353,138.08/9,205.43
  6. Step 6: Final answer
    x = 5,035.41

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