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Finding the Fourth Proportional to 9,992.12, 13,774.02 and 8,220.62

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Solution

The fourth proportional to 9,992.12, 13,774.02 and 8,220.62 is: 11,332.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,992.12 : 13,774.02 = 8,220.62 : x
  2. Step 2: Convert to fraction form
    9,992.12/13,774.02 = 8,220.62/x
  3. Step 3: Cross multiply
    9,992.12x = 13,774.02 × 8,220.62
  4. Step 4: Simplify right side
    9,992.12x = 113,230,984.29
  5. Step 5: Solve for x
    x = 113,230,984.29/9,992.12
  6. Step 6: Final answer
    x = 11,332.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.