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Finding the Fourth Proportional to 6,207.63, 9,311.49 and 1,825.15

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Solution

The fourth proportional to 6,207.63, 9,311.49 and 1,825.15 is: 2,737.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,207.63 : 9,311.49 = 1,825.15 : x
  2. Step 2: Convert to fraction form
    6,207.63/9,311.49 = 1,825.15/x
  3. Step 3: Cross multiply
    6,207.63x = 9,311.49 × 1,825.15
  4. Step 4: Simplify right side
    6,207.63x = 16,994,865.97
  5. Step 5: Solve for x
    x = 16,994,865.97/6,207.63
  6. Step 6: Final answer
    x = 2,737.74

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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.