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Finding the Fourth Proportional to 6,146.35, 9,219.46 and 1,763.83

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Solution

The fourth proportional to 6,146.35, 9,219.46 and 1,763.83 is: 2,645.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,146.35 : 9,219.46 = 1,763.83 : x
  2. Step 2: Convert to fraction form
    6,146.35/9,219.46 = 1,763.83/x
  3. Step 3: Cross multiply
    6,146.35x = 9,219.46 × 1,763.83
  4. Step 4: Simplify right side
    6,146.35x = 16,261,560.13
  5. Step 5: Solve for x
    x = 16,261,560.13/6,146.35
  6. Step 6: Final answer
    x = 2,645.73

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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.