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Finding the Fourth Proportional to 9,757.93, 14,639.63 and 3,918.64

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Solution

The fourth proportional to 9,757.93, 14,639.63 and 3,918.64 is: 5,879.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757.93 : 14,639.63 = 3,918.64 : x
  2. Step 2: Convert to fraction form
    9,757.93/14,639.63 = 3,918.64/x
  3. Step 3: Cross multiply
    9,757.93x = 14,639.63 × 3,918.64
  4. Step 4: Simplify right side
    9,757.93x = 57,367,439.70
  5. Step 5: Solve for x
    x = 57,367,439.70/9,757.93
  6. Step 6: Final answer
    x = 5,879.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.