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Finding the Fourth Proportional to 6,942.66, 9,584.04 and 4,428.22

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Solution

The fourth proportional to 6,942.66, 9,584.04 and 4,428.22 is: 6,112.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,942.66 : 9,584.04 = 4,428.22 : x
  2. Step 2: Convert to fraction form
    6,942.66/9,584.04 = 4,428.22/x
  3. Step 3: Cross multiply
    6,942.66x = 9,584.04 × 4,428.22
  4. Step 4: Simplify right side
    6,942.66x = 42,440,215.47
  5. Step 5: Solve for x
    x = 42,440,215.47/6,942.66
  6. Step 6: Final answer
    x = 6,112.96

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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.