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Finding the Fourth Proportional to 6,096.87, 8,394.44 and 5,378.20

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Solution

The fourth proportional to 6,096.87, 8,394.44 and 5,378.20 is: 7,404.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.87 : 8,394.44 = 5,378.20 : x
  2. Step 2: Convert to fraction form
    6,096.87/8,394.44 = 5,378.20/x
  3. Step 3: Cross multiply
    6,096.87x = 8,394.44 × 5,378.20
  4. Step 4: Simplify right side
    6,096.87x = 45,146,929.33
  5. Step 5: Solve for x
    x = 45,146,929.33/6,096.87
  6. Step 6: Final answer
    x = 7,404.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.