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Finding the Fourth Proportional to 6,189.48, 9,285.25 and 3,069.59

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Solution

The fourth proportional to 6,189.48, 9,285.25 and 3,069.59 is: 4,604.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,189.48 : 9,285.25 = 3,069.59 : x
  2. Step 2: Convert to fraction form
    6,189.48/9,285.25 = 3,069.59/x
  3. Step 3: Cross multiply
    6,189.48x = 9,285.25 × 3,069.59
  4. Step 4: Simplify right side
    6,189.48x = 28,501,914.43
  5. Step 5: Solve for x
    x = 28,501,914.43/6,189.48
  6. Step 6: Final answer
    x = 4,604.89

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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.