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Finding the Fourth Proportional to 9,069.25, 13,602.05 and 2,828.25

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Solution

The fourth proportional to 9,069.25, 13,602.05 and 2,828.25 is: 4,241.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,069.25 : 13,602.05 = 2,828.25 : x
  2. Step 2: Convert to fraction form
    9,069.25/13,602.05 = 2,828.25/x
  3. Step 3: Cross multiply
    9,069.25x = 13,602.05 × 2,828.25
  4. Step 4: Simplify right side
    9,069.25x = 38,469,997.91
  5. Step 5: Solve for x
    x = 38,469,997.91/9,069.25
  6. Step 6: Final answer
    x = 4,241.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.