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Finding the Fourth Proportional to 6,408.24, 9,612.36 and 3,289.20

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Solution

The fourth proportional to 6,408.24, 9,612.36 and 3,289.20 is: 4,933.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408.24 : 9,612.36 = 3,289.20 : x
  2. Step 2: Convert to fraction form
    6,408.24/9,612.36 = 3,289.20/x
  3. Step 3: Cross multiply
    6,408.24x = 9,612.36 × 3,289.20
  4. Step 4: Simplify right side
    6,408.24x = 31,616,974.51
  5. Step 5: Solve for x
    x = 31,616,974.51/6,408.24
  6. Step 6: Final answer
    x = 4,933.80

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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.