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Finding the Fourth Proportional to 8,946.33, 12,342.83 and 5,540.69

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Solution

The fourth proportional to 8,946.33, 12,342.83 and 5,540.69 is: 7,644.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,946.33 : 12,342.83 = 5,540.69 : x
  2. Step 2: Convert to fraction form
    8,946.33/12,342.83 = 5,540.69/x
  3. Step 3: Cross multiply
    8,946.33x = 12,342.83 × 5,540.69
  4. Step 4: Simplify right side
    8,946.33x = 68,387,705.34
  5. Step 5: Solve for x
    x = 68,387,705.34/8,946.33
  6. Step 6: Final answer
    x = 7,644.22

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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.