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Finding the Fourth Proportional to 6,199.69, 9,286.98 and 3,070.27

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Solution

The fourth proportional to 6,199.69, 9,286.98 and 3,070.27 is: 4,599.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,199.69 : 9,286.98 = 3,070.27 : x
  2. Step 2: Convert to fraction form
    6,199.69/9,286.98 = 3,070.27/x
  3. Step 3: Cross multiply
    6,199.69x = 9,286.98 × 3,070.27
  4. Step 4: Simplify right side
    6,199.69x = 28,513,536.08
  5. Step 5: Solve for x
    x = 28,513,536.08/6,199.69
  6. Step 6: Final answer
    x = 4,599.19

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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.