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Finding the Fourth Proportional to 9,114.75, 13,674.56 and 4,497.75

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Solution

The fourth proportional to 9,114.75, 13,674.56 and 4,497.75 is: 6,747.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,114.75 : 13,674.56 = 4,497.75 : x
  2. Step 2: Convert to fraction form
    9,114.75/13,674.56 = 4,497.75/x
  3. Step 3: Cross multiply
    9,114.75x = 13,674.56 × 4,497.75
  4. Step 4: Simplify right side
    9,114.75x = 61,504,729.75
  5. Step 5: Solve for x
    x = 61,504,729.75/9,114.75
  6. Step 6: Final answer
    x = 6,747.82

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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.