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Finding the Fourth Proportional to 9,766.73, 13,474.37 and 7,220.61

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Solution

The fourth proportional to 9,766.73, 13,474.37 and 7,220.61 is: 9,961.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,766.73 : 13,474.37 = 7,220.61 : x
  2. Step 2: Convert to fraction form
    9,766.73/13,474.37 = 7,220.61/x
  3. Step 3: Cross multiply
    9,766.73x = 13,474.37 × 7,220.61
  4. Step 4: Simplify right side
    9,766.73x = 97,293,188.82
  5. Step 5: Solve for x
    x = 97,293,188.82/9,766.73
  6. Step 6: Final answer
    x = 9,961.69

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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.