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Finding the Fourth Proportional to 9,171.84, 13,749.99 and 3,629.10

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Solution

The fourth proportional to 9,171.84, 13,749.99 and 3,629.10 is: 5,440.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,171.84 : 13,749.99 = 3,629.10 : x
  2. Step 2: Convert to fraction form
    9,171.84/13,749.99 = 3,629.10/x
  3. Step 3: Cross multiply
    9,171.84x = 13,749.99 × 3,629.10
  4. Step 4: Simplify right side
    9,171.84x = 49,900,043.95
  5. Step 5: Solve for x
    x = 49,900,043.95/9,171.84
  6. Step 6: Final answer
    x = 5,440.57

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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.