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Finding the Fourth Proportional to 9,414.82, 12,990.94 and 5,835.43

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Solution

The fourth proportional to 9,414.82, 12,990.94 and 5,835.43 is: 8,051.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,414.82 : 12,990.94 = 5,835.43 : x
  2. Step 2: Convert to fraction form
    9,414.82/12,990.94 = 5,835.43/x
  3. Step 3: Cross multiply
    9,414.82x = 12,990.94 × 5,835.43
  4. Step 4: Simplify right side
    9,414.82x = 75,807,721.00
  5. Step 5: Solve for x
    x = 75,807,721.00/9,414.82
  6. Step 6: Final answer
    x = 8,051.96

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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.