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Finding the Fourth Proportional to 6,047.96, 9,069.99 and 4,193.46

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Solution

The fourth proportional to 6,047.96, 9,069.99 and 4,193.46 is: 6,288.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,047.96 : 9,069.99 = 4,193.46 : x
  2. Step 2: Convert to fraction form
    6,047.96/9,069.99 = 4,193.46/x
  3. Step 3: Cross multiply
    6,047.96x = 9,069.99 × 4,193.46
  4. Step 4: Simplify right side
    6,047.96x = 38,034,640.27
  5. Step 5: Solve for x
    x = 38,034,640.27/6,047.96
  6. Step 6: Final answer
    x = 6,288.84

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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.