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Finding the Fourth Proportional to 6,318.25, 9,483.78 and 5,697.73

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Solution

The fourth proportional to 6,318.25, 9,483.78 and 5,697.73 is: 8,552.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,318.25 : 9,483.78 = 5,697.73 : x
  2. Step 2: Convert to fraction form
    6,318.25/9,483.78 = 5,697.73/x
  3. Step 3: Cross multiply
    6,318.25x = 9,483.78 × 5,697.73
  4. Step 4: Simplify right side
    6,318.25x = 54,035,998.84
  5. Step 5: Solve for x
    x = 54,035,998.84/6,318.25
  6. Step 6: Final answer
    x = 8,552.37

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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.