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Finding the Fourth Proportional to 9,171.84, 13,757.58 and 2,246.34

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Solution

The fourth proportional to 9,171.84, 13,757.58 and 2,246.34 is: 3,369.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,171.84 : 13,757.58 = 2,246.34 : x
  2. Step 2: Convert to fraction form
    9,171.84/13,757.58 = 2,246.34/x
  3. Step 3: Cross multiply
    9,171.84x = 13,757.58 × 2,246.34
  4. Step 4: Simplify right side
    9,171.84x = 30,904,202.26
  5. Step 5: Solve for x
    x = 30,904,202.26/9,171.84
  6. Step 6: Final answer
    x = 3,369.47

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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.