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Finding the Fourth Proportional to 6,333.33, 9,499.89 and 2,438.58

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Solution

The fourth proportional to 6,333.33, 9,499.89 and 2,438.58 is: 3,657.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,333.33 : 9,499.89 = 2,438.58 : x
  2. Step 2: Convert to fraction form
    6,333.33/9,499.89 = 2,438.58/x
  3. Step 3: Cross multiply
    6,333.33x = 9,499.89 × 2,438.58
  4. Step 4: Simplify right side
    6,333.33x = 23,166,241.76
  5. Step 5: Solve for x
    x = 23,166,241.76/6,333.33
  6. Step 6: Final answer
    x = 3,657.83

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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.