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Finding the Fourth Proportional to 9,207.92, 13,811.78 and 3,938.46

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Solution

The fourth proportional to 9,207.92, 13,811.78 and 3,938.46 is: 5,907.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,207.92 : 13,811.78 = 3,938.46 : x
  2. Step 2: Convert to fraction form
    9,207.92/13,811.78 = 3,938.46/x
  3. Step 3: Cross multiply
    9,207.92x = 13,811.78 × 3,938.46
  4. Step 4: Simplify right side
    9,207.92x = 54,397,142.76
  5. Step 5: Solve for x
    x = 54,397,142.76/9,207.92
  6. Step 6: Final answer
    x = 5,907.65

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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.