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Finding the Fourth Proportional to 6,942.92, 9,584.39 and 4,428.47

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Solution

The fourth proportional to 6,942.92, 9,584.39 and 4,428.47 is: 6,113.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,942.92 : 9,584.39 = 4,428.47 : x
  2. Step 2: Convert to fraction form
    6,942.92/9,584.39 = 4,428.47/x
  3. Step 3: Cross multiply
    6,942.92x = 9,584.39 × 4,428.47
  4. Step 4: Simplify right side
    6,942.92x = 42,444,185.40
  5. Step 5: Solve for x
    x = 42,444,185.40/6,942.92
  6. Step 6: Final answer
    x = 6,113.31

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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.