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Finding the Fourth Proportional to 6,295.94, 9,443.94 and 1,678.94

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Solution

The fourth proportional to 6,295.94, 9,443.94 and 1,678.94 is: 2,518.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,295.94 : 9,443.94 = 1,678.94 : x
  2. Step 2: Convert to fraction form
    6,295.94/9,443.94 = 1,678.94/x
  3. Step 3: Cross multiply
    6,295.94x = 9,443.94 × 1,678.94
  4. Step 4: Simplify right side
    6,295.94x = 15,855,808.62
  5. Step 5: Solve for x
    x = 15,855,808.62/6,295.94
  6. Step 6: Final answer
    x = 2,518.42

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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.