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Finding the Fourth Proportional to 6,197.67, 9,289.35 and 2,858.94

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Solution

The fourth proportional to 6,197.67, 9,289.35 and 2,858.94 is: 4,285.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.67 : 9,289.35 = 2,858.94 : x
  2. Step 2: Convert to fraction form
    6,197.67/9,289.35 = 2,858.94/x
  3. Step 3: Cross multiply
    6,197.67x = 9,289.35 × 2,858.94
  4. Step 4: Simplify right side
    6,197.67x = 26,557,694.29
  5. Step 5: Solve for x
    x = 26,557,694.29/6,197.67
  6. Step 6: Final answer
    x = 4,285.11

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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.