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Finding the Fourth Proportional to 9,166.63, 13,749.94 and 3,323.23

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Solution

The fourth proportional to 9,166.63, 13,749.94 and 3,323.23 is: 4,984.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,166.63 : 13,749.94 = 3,323.23 : x
  2. Step 2: Convert to fraction form
    9,166.63/13,749.94 = 3,323.23/x
  3. Step 3: Cross multiply
    9,166.63x = 13,749.94 × 3,323.23
  4. Step 4: Simplify right side
    9,166.63x = 45,694,213.11
  5. Step 5: Solve for x
    x = 45,694,213.11/9,166.63
  6. Step 6: Final answer
    x = 4,984.84

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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.