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Finding the Fourth Proportional to 9,235.44, 13,857.66 and 4,299.15

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Solution

The fourth proportional to 9,235.44, 13,857.66 and 4,299.15 is: 6,450.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,235.44 : 13,857.66 = 4,299.15 : x
  2. Step 2: Convert to fraction form
    9,235.44/13,857.66 = 4,299.15/x
  3. Step 3: Cross multiply
    9,235.44x = 13,857.66 × 4,299.15
  4. Step 4: Simplify right side
    9,235.44x = 59,576,158.99
  5. Step 5: Solve for x
    x = 59,576,158.99/9,235.44
  6. Step 6: Final answer
    x = 6,450.82

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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.