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Finding the Fourth Proportional to 6,408.20, 9,612.30 and 2,026

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Solution

The fourth proportional to 6,408.20, 9,612.30 and 2,026 is: 3,039.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408.20 : 9,612.30 = 2,026 : x
  2. Step 2: Convert to fraction form
    6,408.20/9,612.30 = 2,026/x
  3. Step 3: Cross multiply
    6,408.20x = 9,612.30 × 2,026
  4. Step 4: Simplify right side
    6,408.20x = 19,474,519.80
  5. Step 5: Solve for x
    x = 19,474,519.80/6,408.20
  6. Step 6: Final answer
    x = 3,039.00

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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.