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Finding the Fourth Proportional to 9,232.28, 13,842.30 and 4,299.24

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Solution

The fourth proportional to 9,232.28, 13,842.30 and 4,299.24 is: 6,446.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,232.28 : 13,842.30 = 4,299.24 : x
  2. Step 2: Convert to fraction form
    9,232.28/13,842.30 = 4,299.24/x
  3. Step 3: Cross multiply
    9,232.28x = 13,842.30 × 4,299.24
  4. Step 4: Simplify right side
    9,232.28x = 59,511,369.85
  5. Step 5: Solve for x
    x = 59,511,369.85/9,232.28
  6. Step 6: Final answer
    x = 6,446.01

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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.