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Finding the Fourth Proportional to 6,324.14, 9,488.05 and 1,942.25

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Solution

The fourth proportional to 6,324.14, 9,488.05 and 1,942.25 is: 2,913.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,324.14 : 9,488.05 = 1,942.25 : x
  2. Step 2: Convert to fraction form
    6,324.14/9,488.05 = 1,942.25/x
  3. Step 3: Cross multiply
    6,324.14x = 9,488.05 × 1,942.25
  4. Step 4: Simplify right side
    6,324.14x = 18,428,112.82
  5. Step 5: Solve for x
    x = 18,428,112.82/6,324.14
  6. Step 6: Final answer
    x = 2,913.93

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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.