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Finding the Fourth Proportional to 6,408.16, 9,612.32 and 2,026

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Solution

The fourth proportional to 6,408.16, 9,612.32 and 2,026 is: 3,039.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408.16 : 9,612.32 = 2,026 : x
  2. Step 2: Convert to fraction form
    6,408.16/9,612.32 = 2,026/x
  3. Step 3: Cross multiply
    6,408.16x = 9,612.32 × 2,026
  4. Step 4: Simplify right side
    6,408.16x = 19,474,560.32
  5. Step 5: Solve for x
    x = 19,474,560.32/6,408.16
  6. Step 6: Final answer
    x = 3,039.03

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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.