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Finding the Fourth Proportional to 9,164.63, 13,746.94 and 3,321.23

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Solution

The fourth proportional to 9,164.63, 13,746.94 and 3,321.23 is: 4,981.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.63 : 13,746.94 = 3,321.23 : x
  2. Step 2: Convert to fraction form
    9,164.63/13,746.94 = 3,321.23/x
  3. Step 3: Cross multiply
    9,164.63x = 13,746.94 × 3,321.23
  4. Step 4: Simplify right side
    9,164.63x = 45,656,749.54
  5. Step 5: Solve for x
    x = 45,656,749.54/9,164.63
  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.