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Finding the Fourth Proportional to 6,408.36, 9,612.47 and 2,025.82

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Solution

The fourth proportional to 6,408.36, 9,612.47 and 2,025.82 is: 3,038.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408.36 : 9,612.47 = 2,025.82 : x
  2. Step 2: Convert to fraction form
    6,408.36/9,612.47 = 2,025.82/x
  3. Step 3: Cross multiply
    6,408.36x = 9,612.47 × 2,025.82
  4. Step 4: Simplify right side
    6,408.36x = 19,473,133.98
  5. Step 5: Solve for x
    x = 19,473,133.98/6,408.36
  6. Step 6: Final answer
    x = 3,038.71

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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.