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Finding the Fourth Proportional to 9,224.24, 13,836.24 and 4,291.13

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Solution

The fourth proportional to 9,224.24, 13,836.24 and 4,291.13 is: 6,436.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,224.24 : 13,836.24 = 4,291.13 : x
  2. Step 2: Convert to fraction form
    9,224.24/13,836.24 = 4,291.13/x
  3. Step 3: Cross multiply
    9,224.24x = 13,836.24 × 4,291.13
  4. Step 4: Simplify right side
    9,224.24x = 59,373,035.37
  5. Step 5: Solve for x
    x = 59,373,035.37/9,224.24
  6. Step 6: Final answer
    x = 6,436.64

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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.