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Finding the Fourth Proportional to 8,946.38, 13,408.44 and 3,096.14

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Solution

The fourth proportional to 8,946.38, 13,408.44 and 3,096.14 is: 4,640.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,946.38 : 13,408.44 = 3,096.14 : x
  2. Step 2: Convert to fraction form
    8,946.38/13,408.44 = 3,096.14/x
  3. Step 3: Cross multiply
    8,946.38x = 13,408.44 × 3,096.14
  4. Step 4: Simplify right side
    8,946.38x = 41,514,407.42
  5. Step 5: Solve for x
    x = 41,514,407.42/8,946.38
  6. Step 6: Final answer
    x = 4,640.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.