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Finding the Fourth Proportional to 8,938.20, 13,408.74 and 4,007.82

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Solution

The fourth proportional to 8,938.20, 13,408.74 and 4,007.82 is: 6,012.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,938.20 : 13,408.74 = 4,007.82 : x
  2. Step 2: Convert to fraction form
    8,938.20/13,408.74 = 4,007.82/x
  3. Step 3: Cross multiply
    8,938.20x = 13,408.74 × 4,007.82
  4. Step 4: Simplify right side
    8,938.20x = 53,739,816.35
  5. Step 5: Solve for x
    x = 53,739,816.35/8,938.20
  6. Step 6: Final answer
    x = 6,012.38

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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.