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Finding the Fourth Proportional to 9,229.75, 13,816.37 and 8,537.65

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Solution

The fourth proportional to 9,229.75, 13,816.37 and 8,537.65 is: 12,780.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,229.75 : 13,816.37 = 8,537.65 : x
  2. Step 2: Convert to fraction form
    9,229.75/13,816.37 = 8,537.65/x
  3. Step 3: Cross multiply
    9,229.75x = 13,816.37 × 8,537.65
  4. Step 4: Simplify right side
    9,229.75x = 117,959,395.85
  5. Step 5: Solve for x
    x = 117,959,395.85/9,229.75
  6. Step 6: Final answer
    x = 12,780.35

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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.