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Finding the Fourth Proportional to 9,206.73, 13,812.80 and 3,938.90

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Solution

The fourth proportional to 9,206.73, 13,812.80 and 3,938.90 is: 5,909.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.73 : 13,812.80 = 3,938.90 : x
  2. Step 2: Convert to fraction form
    9,206.73/13,812.80 = 3,938.90/x
  3. Step 3: Cross multiply
    9,206.73x = 13,812.80 × 3,938.90
  4. Step 4: Simplify right side
    9,206.73x = 54,407,149.16
  5. Step 5: Solve for x
    x = 54,407,149.16/9,206.73
  6. Step 6: Final answer
    x = 5,909.50

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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.