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Finding the Fourth Proportional to 6,433.48, 9,647.74 and 2,737.45

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Solution

The fourth proportional to 6,433.48, 9,647.74 and 2,737.45 is: 4,105.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,433.48 : 9,647.74 = 2,737.45 : x
  2. Step 2: Convert to fraction form
    6,433.48/9,647.74 = 2,737.45/x
  3. Step 3: Cross multiply
    6,433.48x = 9,647.74 × 2,737.45
  4. Step 4: Simplify right side
    6,433.48x = 26,410,205.86
  5. Step 5: Solve for x
    x = 26,410,205.86/6,433.48
  6. Step 6: Final answer
    x = 4,105.12

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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.