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Finding the Fourth Proportional to 6,232.49, 9,348.82 and 1,790.30

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Solution

The fourth proportional to 6,232.49, 9,348.82 and 1,790.30 is: 2,685.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,232.49 : 9,348.82 = 1,790.30 : x
  2. Step 2: Convert to fraction form
    6,232.49/9,348.82 = 1,790.30/x
  3. Step 3: Cross multiply
    6,232.49x = 9,348.82 × 1,790.30
  4. Step 4: Simplify right side
    6,232.49x = 16,737,211.34
  5. Step 5: Solve for x
    x = 16,737,211.34/6,232.49
  6. Step 6: Final answer
    x = 2,685.48

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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.