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Finding the Fourth Proportional to 7,078.69, 9,764.43 and 4,427.41

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Solution

The fourth proportional to 7,078.69, 9,764.43 and 4,427.41 is: 6,107.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,078.69 : 9,764.43 = 4,427.41 : x
  2. Step 2: Convert to fraction form
    7,078.69/9,764.43 = 4,427.41/x
  3. Step 3: Cross multiply
    7,078.69x = 9,764.43 × 4,427.41
  4. Step 4: Simplify right side
    7,078.69x = 43,231,086.20
  5. Step 5: Solve for x
    x = 43,231,086.20/7,078.69
  6. Step 6: Final answer
    x = 6,107.22

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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.