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Finding the Fourth Proportional to 9,992.82, 14,998.44 and 9,390

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Solution

The fourth proportional to 9,992.82, 14,998.44 and 9,390 is: 14,093.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,992.82 : 14,998.44 = 9,390 : x
  2. Step 2: Convert to fraction form
    9,992.82/14,998.44 = 9,390/x
  3. Step 3: Cross multiply
    9,992.82x = 14,998.44 × 9,390
  4. Step 4: Simplify right side
    9,992.82x = 140,835,351.60
  5. Step 5: Solve for x
    x = 140,835,351.60/9,992.82
  6. Step 6: Final answer
    x = 14,093.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.