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Finding the Fourth Proportional to 9,229.01, 13,822.71 and 4,288.25

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Solution

The fourth proportional to 9,229.01, 13,822.71 and 4,288.25 is: 6,422.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,229.01 : 13,822.71 = 4,288.25 : x
  2. Step 2: Convert to fraction form
    9,229.01/13,822.71 = 4,288.25/x
  3. Step 3: Cross multiply
    9,229.01x = 13,822.71 × 4,288.25
  4. Step 4: Simplify right side
    9,229.01x = 59,275,236.16
  5. Step 5: Solve for x
    x = 59,275,236.16/9,229.01
  6. Step 6: Final answer
    x = 6,422.71

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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.