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Finding the Fourth Proportional to 9,684.77, 14,525.24 and 2,662.97

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Solution

The fourth proportional to 9,684.77, 14,525.24 and 2,662.97 is: 3,993.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.77 : 14,525.24 = 2,662.97 : x
  2. Step 2: Convert to fraction form
    9,684.77/14,525.24 = 2,662.97/x
  3. Step 3: Cross multiply
    9,684.77x = 14,525.24 × 2,662.97
  4. Step 4: Simplify right side
    9,684.77x = 38,680,296.52
  5. Step 5: Solve for x
    x = 38,680,296.52/9,684.77
  6. Step 6: Final answer
    x = 3,993.93

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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.