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Finding the Fourth Proportional to 9,207.84, 13,812.27 and 2,967.39

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Solution

The fourth proportional to 9,207.84, 13,812.27 and 2,967.39 is: 4,451.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,207.84 : 13,812.27 = 2,967.39 : x
  2. Step 2: Convert to fraction form
    9,207.84/13,812.27 = 2,967.39/x
  3. Step 3: Cross multiply
    9,207.84x = 13,812.27 × 2,967.39
  4. Step 4: Simplify right side
    9,207.84x = 40,986,391.88
  5. Step 5: Solve for x
    x = 40,986,391.88/9,207.84
  6. Step 6: Final answer
    x = 4,451.25

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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.