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Finding the Fourth Proportional to 6,160.45, 9,238.96 and 1,776.73

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Solution

The fourth proportional to 6,160.45, 9,238.96 and 1,776.73 is: 2,664.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,160.45 : 9,238.96 = 1,776.73 : x
  2. Step 2: Convert to fraction form
    6,160.45/9,238.96 = 1,776.73/x
  3. Step 3: Cross multiply
    6,160.45x = 9,238.96 × 1,776.73
  4. Step 4: Simplify right side
    6,160.45x = 16,415,137.40
  5. Step 5: Solve for x
    x = 16,415,137.40/6,160.45
  6. Step 6: Final answer
    x = 2,664.60

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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.