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Finding the Fourth Proportional to 6,403.84, 9,603.60 and 3,280.48

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Solution

The fourth proportional to 6,403.84, 9,603.60 and 3,280.48 is: 4,919.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,403.84 : 9,603.60 = 3,280.48 : x
  2. Step 2: Convert to fraction form
    6,403.84/9,603.60 = 3,280.48/x
  3. Step 3: Cross multiply
    6,403.84x = 9,603.60 × 3,280.48
  4. Step 4: Simplify right side
    6,403.84x = 31,504,417.73
  5. Step 5: Solve for x
    x = 31,504,417.73/6,403.84
  6. Step 6: Final answer
    x = 4,919.61

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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.