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Finding the Fourth Proportional to 6,500.33, 8,969.46 and 3,667.49

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Solution

The fourth proportional to 6,500.33, 8,969.46 and 3,667.49 is: 5,060.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.33 : 8,969.46 = 3,667.49 : x
  2. Step 2: Convert to fraction form
    6,500.33/8,969.46 = 3,667.49/x
  3. Step 3: Cross multiply
    6,500.33x = 8,969.46 × 3,667.49
  4. Step 4: Simplify right side
    6,500.33x = 32,895,364.98
  5. Step 5: Solve for x
    x = 32,895,364.98/6,500.33
  6. Step 6: Final answer
    x = 5,060.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.