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Finding the Fourth Proportional to 9,206.71, 13,812.27 and 2,967.31

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Solution

The fourth proportional to 9,206.71, 13,812.27 and 2,967.31 is: 4,451.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.71 : 13,812.27 = 2,967.31 : x
  2. Step 2: Convert to fraction form
    9,206.71/13,812.27 = 2,967.31/x
  3. Step 3: Cross multiply
    9,206.71x = 13,812.27 × 2,967.31
  4. Step 4: Simplify right side
    9,206.71x = 40,985,286.89
  5. Step 5: Solve for x
    x = 40,985,286.89/9,206.71
  6. Step 6: Final answer
    x = 4,451.68

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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.