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Finding the Fourth Proportional to 9,758.20, 14,644.92 and 3,918.64

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Solution

The fourth proportional to 9,758.20, 14,644.92 and 3,918.64 is: 5,881.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.20 : 14,644.92 = 3,918.64 : x
  2. Step 2: Convert to fraction form
    9,758.20/14,644.92 = 3,918.64/x
  3. Step 3: Cross multiply
    9,758.20x = 14,644.92 × 3,918.64
  4. Step 4: Simplify right side
    9,758.20x = 57,388,169.31
  5. Step 5: Solve for x
    x = 57,388,169.31/9,758.20
  6. Step 6: Final answer
    x = 5,881.02

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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.