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Finding the Fourth Proportional to 6,408.96, 9,612.60 and 2,026.86

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Solution

The fourth proportional to 6,408.96, 9,612.60 and 2,026.86 is: 3,040.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408.96 : 9,612.60 = 2,026.86 : x
  2. Step 2: Convert to fraction form
    6,408.96/9,612.60 = 2,026.86/x
  3. Step 3: Cross multiply
    6,408.96x = 9,612.60 × 2,026.86
  4. Step 4: Simplify right side
    6,408.96x = 19,483,394.44
  5. Step 5: Solve for x
    x = 19,483,394.44/6,408.96
  6. Step 6: Final answer
    x = 3,040.02

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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.