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Finding the Fourth Proportional to 9,687.25, 14,527.67 and 3,763.72

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Solution

The fourth proportional to 9,687.25, 14,527.67 and 3,763.72 is: 5,644.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,687.25 : 14,527.67 = 3,763.72 : x
  2. Step 2: Convert to fraction form
    9,687.25/14,527.67 = 3,763.72/x
  3. Step 3: Cross multiply
    9,687.25x = 14,527.67 × 3,763.72
  4. Step 4: Simplify right side
    9,687.25x = 54,678,020.93
  5. Step 5: Solve for x
    x = 54,678,020.93/9,687.25
  6. Step 6: Final answer
    x = 5,644.33

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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.