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Finding the Fourth Proportional to 9,204.89, 13,804.14 and 8,614.40

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Solution

The fourth proportional to 9,204.89, 13,804.14 and 8,614.40 is: 12,918.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,204.89 : 13,804.14 = 8,614.40 : x
  2. Step 2: Convert to fraction form
    9,204.89/13,804.14 = 8,614.40/x
  3. Step 3: Cross multiply
    9,204.89x = 13,804.14 × 8,614.40
  4. Step 4: Simplify right side
    9,204.89x = 118,914,383.62
  5. Step 5: Solve for x
    x = 118,914,383.62/9,204.89
  6. Step 6: Final answer
    x = 12,918.61

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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.