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Finding the Fourth Proportional to 6,906.16, 9,527.46 and 4,667.22

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Solution

The fourth proportional to 6,906.16, 9,527.46 and 4,667.22 is: 6,438.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.16 : 9,527.46 = 4,667.22 : x
  2. Step 2: Convert to fraction form
    6,906.16/9,527.46 = 4,667.22/x
  3. Step 3: Cross multiply
    6,906.16x = 9,527.46 × 4,667.22
  4. Step 4: Simplify right side
    6,906.16x = 44,466,751.86
  5. Step 5: Solve for x
    x = 44,466,751.86/6,906.16
  6. Step 6: Final answer
    x = 6,438.71

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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.