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Finding the Fourth Proportional to 6,324.45, 9,488.02 and 1,941.56

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Solution

The fourth proportional to 6,324.45, 9,488.02 and 1,941.56 is: 2,912.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,324.45 : 9,488.02 = 1,941.56 : x
  2. Step 2: Convert to fraction form
    6,324.45/9,488.02 = 1,941.56/x
  3. Step 3: Cross multiply
    6,324.45x = 9,488.02 × 1,941.56
  4. Step 4: Simplify right side
    6,324.45x = 18,421,560.11
  5. Step 5: Solve for x
    x = 18,421,560.11/6,324.45
  6. Step 6: Final answer
    x = 2,912.75

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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.