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Finding the Fourth Proportional to 9,992.66, 14,969.91 and 5,596.82

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Solution

The fourth proportional to 9,992.66, 14,969.91 and 5,596.82 is: 8,384.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,992.66 : 14,969.91 = 5,596.82 : x
  2. Step 2: Convert to fraction form
    9,992.66/14,969.91 = 5,596.82/x
  3. Step 3: Cross multiply
    9,992.66x = 14,969.91 × 5,596.82
  4. Step 4: Simplify right side
    9,992.66x = 83,783,891.69
  5. Step 5: Solve for x
    x = 83,783,891.69/9,992.66
  6. Step 6: Final answer
    x = 8,384.54

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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.