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Finding the Fourth Proportional to 9,992.22, 13,798.14 and 6,221.85

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Solution

The fourth proportional to 9,992.22, 13,798.14 and 6,221.85 is: 8,591.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,992.22 : 13,798.14 = 6,221.85 : x
  2. Step 2: Convert to fraction form
    9,992.22/13,798.14 = 6,221.85/x
  3. Step 3: Cross multiply
    9,992.22x = 13,798.14 × 6,221.85
  4. Step 4: Simplify right side
    9,992.22x = 85,849,957.36
  5. Step 5: Solve for x
    x = 85,849,957.36/9,992.22
  6. Step 6: Final answer
    x = 8,591.68

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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.