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Finding the Fourth Proportional to 7,134.92, 9,846.26 and 4,302.44

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Solution

The fourth proportional to 7,134.92, 9,846.26 and 4,302.44 is: 5,937.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,134.92 : 9,846.26 = 4,302.44 : x
  2. Step 2: Convert to fraction form
    7,134.92/9,846.26 = 4,302.44/x
  3. Step 3: Cross multiply
    7,134.92x = 9,846.26 × 4,302.44
  4. Step 4: Simplify right side
    7,134.92x = 42,362,942.87
  5. Step 5: Solve for x
    x = 42,362,942.87/7,134.92
  6. Step 6: Final answer
    x = 5,937.41

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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.