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Finding the Fourth Proportional to 9,757.79, 14,623.91 and 3,918.50

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Solution

The fourth proportional to 9,757.79, 14,623.91 and 3,918.50 is: 5,872.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757.79 : 14,623.91 = 3,918.50 : x
  2. Step 2: Convert to fraction form
    9,757.79/14,623.91 = 3,918.50/x
  3. Step 3: Cross multiply
    9,757.79x = 14,623.91 × 3,918.50
  4. Step 4: Simplify right side
    9,757.79x = 57,303,791.34
  5. Step 5: Solve for x
    x = 57,303,791.34/9,757.79
  6. Step 6: Final answer
    x = 5,872.62

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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.