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Finding the Fourth Proportional to 9,144.16, 13,694.37 and 8,684.89

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Solution

The fourth proportional to 9,144.16, 13,694.37 and 8,684.89 is: 13,006.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,144.16 : 13,694.37 = 8,684.89 : x
  2. Step 2: Convert to fraction form
    9,144.16/13,694.37 = 8,684.89/x
  3. Step 3: Cross multiply
    9,144.16x = 13,694.37 × 8,684.89
  4. Step 4: Simplify right side
    9,144.16x = 118,934,097.07
  5. Step 5: Solve for x
    x = 118,934,097.07/9,144.16
  6. Step 6: Final answer
    x = 13,006.56

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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.