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Finding the Fourth Proportional to 6,324.95, 9,488.78 and 1,942.07

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Solution

The fourth proportional to 6,324.95, 9,488.78 and 1,942.07 is: 2,913.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,324.95 : 9,488.78 = 1,942.07 : x
  2. Step 2: Convert to fraction form
    6,324.95/9,488.78 = 1,942.07/x
  3. Step 3: Cross multiply
    6,324.95x = 9,488.78 × 1,942.07
  4. Step 4: Simplify right side
    6,324.95x = 18,427,817.82
  5. Step 5: Solve for x
    x = 18,427,817.82/6,324.95
  6. Step 6: Final answer
    x = 2,913.51

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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.