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Finding the Fourth Proportional to 9,166.68, 13,749.96 and 3,321.24

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Solution

The fourth proportional to 9,166.68, 13,749.96 and 3,321.24 is: 4,981.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,166.68 : 13,749.96 = 3,321.24 : x
  2. Step 2: Convert to fraction form
    9,166.68/13,749.96 = 3,321.24/x
  3. Step 3: Cross multiply
    9,166.68x = 13,749.96 × 3,321.24
  4. Step 4: Simplify right side
    9,166.68x = 45,666,917.15
  5. Step 5: Solve for x
    x = 45,666,917.15/9,166.68
  6. Step 6: Final answer
    x = 4,981.84

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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.