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Finding the Fourth Proportional to 6,152.46, 9,229.23 and 1,992.57

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Solution

The fourth proportional to 6,152.46, 9,229.23 and 1,992.57 is: 2,989.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,152.46 : 9,229.23 = 1,992.57 : x
  2. Step 2: Convert to fraction form
    6,152.46/9,229.23 = 1,992.57/x
  3. Step 3: Cross multiply
    6,152.46x = 9,229.23 × 1,992.57
  4. Step 4: Simplify right side
    6,152.46x = 18,389,886.82
  5. Step 5: Solve for x
    x = 18,389,886.82/6,152.46
  6. Step 6: Final answer
    x = 2,989.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.