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Finding the Fourth Proportional to 9,207.81, 13,812.63 and 3,659.92

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Solution

The fourth proportional to 9,207.81, 13,812.63 and 3,659.92 is: 5,490.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,207.81 : 13,812.63 = 3,659.92 : x
  2. Step 2: Convert to fraction form
    9,207.81/13,812.63 = 3,659.92/x
  3. Step 3: Cross multiply
    9,207.81x = 13,812.63 × 3,659.92
  4. Step 4: Simplify right side
    9,207.81x = 50,553,120.79
  5. Step 5: Solve for x
    x = 50,553,120.79/9,207.81
  6. Step 6: Final answer
    x = 5,490.24

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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.