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Finding the Fourth Proportional to 6,942.24, 9,570.33 and 4,949.34

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Solution

The fourth proportional to 6,942.24, 9,570.33 and 4,949.34 is: 6,822.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,942.24 : 9,570.33 = 4,949.34 : x
  2. Step 2: Convert to fraction form
    6,942.24/9,570.33 = 4,949.34/x
  3. Step 3: Cross multiply
    6,942.24x = 9,570.33 × 4,949.34
  4. Step 4: Simplify right side
    6,942.24x = 47,366,797.90
  5. Step 5: Solve for x
    x = 47,366,797.90/6,942.24
  6. Step 6: Final answer
    x = 6,822.98

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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.