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Finding the Fourth Proportional to 9,229.50, 13,844.25 and 3,073.50

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Solution

The fourth proportional to 9,229.50, 13,844.25 and 3,073.50 is: 4,610.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,229.50 : 13,844.25 = 3,073.50 : x
  2. Step 2: Convert to fraction form
    9,229.50/13,844.25 = 3,073.50/x
  3. Step 3: Cross multiply
    9,229.50x = 13,844.25 × 3,073.50
  4. Step 4: Simplify right side
    9,229.50x = 42,550,302.38
  5. Step 5: Solve for x
    x = 42,550,302.38/9,229.50
  6. Step 6: Final answer
    x = 4,610.25

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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.