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Finding the Fourth Proportional to 6,137.43, 9,206.45 and 1,755.54

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Solution

The fourth proportional to 6,137.43, 9,206.45 and 1,755.54 is: 2,633.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.43 : 9,206.45 = 1,755.54 : x
  2. Step 2: Convert to fraction form
    6,137.43/9,206.45 = 1,755.54/x
  3. Step 3: Cross multiply
    6,137.43x = 9,206.45 × 1,755.54
  4. Step 4: Simplify right side
    6,137.43x = 16,162,282.46
  5. Step 5: Solve for x
    x = 16,162,282.46/6,137.43
  6. Step 6: Final answer
    x = 2,633.40

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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.