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Finding the Fourth Proportional to 6,206.58, 9,314.73 and 2,311.20

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Solution

The fourth proportional to 6,206.58, 9,314.73 and 2,311.20 is: 3,468.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,206.58 : 9,314.73 = 2,311.20 : x
  2. Step 2: Convert to fraction form
    6,206.58/9,314.73 = 2,311.20/x
  3. Step 3: Cross multiply
    6,206.58x = 9,314.73 × 2,311.20
  4. Step 4: Simplify right side
    6,206.58x = 21,528,203.98
  5. Step 5: Solve for x
    x = 21,528,203.98/6,206.58
  6. Step 6: Final answer
    x = 3,468.61

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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.