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Finding the Fourth Proportional to 9,932.67, 14,896.62 and 2,912.85

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Solution

The fourth proportional to 9,932.67, 14,896.62 and 2,912.85 is: 4,368.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,932.67 : 14,896.62 = 2,912.85 : x
  2. Step 2: Convert to fraction form
    9,932.67/14,896.62 = 2,912.85/x
  3. Step 3: Cross multiply
    9,932.67x = 14,896.62 × 2,912.85
  4. Step 4: Simplify right side
    9,932.67x = 43,391,619.57
  5. Step 5: Solve for x
    x = 43,391,619.57/9,932.67
  6. Step 6: Final answer
    x = 4,368.58

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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.