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Finding the Fourth Proportional to 9,201.39, 13,804.16 and 3,358.02

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Solution

The fourth proportional to 9,201.39, 13,804.16 and 3,358.02 is: 5,037.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.39 : 13,804.16 = 3,358.02 : x
  2. Step 2: Convert to fraction form
    9,201.39/13,804.16 = 3,358.02/x
  3. Step 3: Cross multiply
    9,201.39x = 13,804.16 × 3,358.02
  4. Step 4: Simplify right side
    9,201.39x = 46,354,628.57
  5. Step 5: Solve for x
    x = 46,354,628.57/9,201.39
  6. Step 6: Final answer
    x = 5,037.79

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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.