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Finding the Fourth Proportional to 6,197.60, 9,292.06 and 2,300.96

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Solution

The fourth proportional to 6,197.60, 9,292.06 and 2,300.96 is: 3,449.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.60 : 9,292.06 = 2,300.96 : x
  2. Step 2: Convert to fraction form
    6,197.60/9,292.06 = 2,300.96/x
  3. Step 3: Cross multiply
    6,197.60x = 9,292.06 × 2,300.96
  4. Step 4: Simplify right side
    6,197.60x = 21,380,658.38
  5. Step 5: Solve for x
    x = 21,380,658.38/6,197.60
  6. Step 6: Final answer
    x = 3,449.83

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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.