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Finding the Fourth Proportional to 9,270.84, 13,906.14 and 2,250.91

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Solution

The fourth proportional to 9,270.84, 13,906.14 and 2,250.91 is: 3,376.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,270.84 : 13,906.14 = 2,250.91 : x
  2. Step 2: Convert to fraction form
    9,270.84/13,906.14 = 2,250.91/x
  3. Step 3: Cross multiply
    9,270.84x = 13,906.14 × 2,250.91
  4. Step 4: Simplify right side
    9,270.84x = 31,301,469.59
  5. Step 5: Solve for x
    x = 31,301,469.59/9,270.84
  6. Step 6: Final answer
    x = 3,376.34

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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.