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Finding the Fourth Proportional to 9,715.92, 14,571.72 and 2,790.96

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Solution

The fourth proportional to 9,715.92, 14,571.72 and 2,790.96 is: 4,185.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715.92 : 14,571.72 = 2,790.96 : x
  2. Step 2: Convert to fraction form
    9,715.92/14,571.72 = 2,790.96/x
  3. Step 3: Cross multiply
    9,715.92x = 14,571.72 × 2,790.96
  4. Step 4: Simplify right side
    9,715.92x = 40,669,087.65
  5. Step 5: Solve for x
    x = 40,669,087.65/9,715.92
  6. Step 6: Final answer
    x = 4,185.82

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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.