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Finding the Fourth Proportional to 6,143.46, 9,218.46 and 2,855.70

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Solution

The fourth proportional to 6,143.46, 9,218.46 and 2,855.70 is: 4,285.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,143.46 : 9,218.46 = 2,855.70 : x
  2. Step 2: Convert to fraction form
    6,143.46/9,218.46 = 2,855.70/x
  3. Step 3: Cross multiply
    6,143.46x = 9,218.46 × 2,855.70
  4. Step 4: Simplify right side
    6,143.46x = 26,325,156.22
  5. Step 5: Solve for x
    x = 26,325,156.22/6,143.46
  6. Step 6: Final answer
    x = 4,285.07

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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.