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Finding the Fourth Proportional to 6,133.14, 9,199.77 and 3,217.14

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Solution

The fourth proportional to 6,133.14, 9,199.77 and 3,217.14 is: 4,825.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,133.14 : 9,199.77 = 3,217.14 : x
  2. Step 2: Convert to fraction form
    6,133.14/9,199.77 = 3,217.14/x
  3. Step 3: Cross multiply
    6,133.14x = 9,199.77 × 3,217.14
  4. Step 4: Simplify right side
    6,133.14x = 29,596,885.97
  5. Step 5: Solve for x
    x = 29,596,885.97/6,133.14
  6. Step 6: Final answer
    x = 4,825.74

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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.