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Finding the Fourth Proportional to 6,500.52, 8,969.94 and 3,667.68

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Solution

The fourth proportional to 6,500.52, 8,969.94 and 3,667.68 is: 5,060.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.52 : 8,969.94 = 3,667.68 : x
  2. Step 2: Convert to fraction form
    6,500.52/8,969.94 = 3,667.68/x
  3. Step 3: Cross multiply
    6,500.52x = 8,969.94 × 3,667.68
  4. Step 4: Simplify right side
    6,500.52x = 32,898,869.54
  5. Step 5: Solve for x
    x = 32,898,869.54/6,500.52
  6. Step 6: Final answer
    x = 5,060.96

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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.