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Finding the Fourth Proportional to 9,957, 14,912.68 and 5,786.68

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Solution

The fourth proportional to 9,957, 14,912.68 and 5,786.68 is: 8,666.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,957 : 14,912.68 = 5,786.68 : x
  2. Step 2: Convert to fraction form
    9,957/14,912.68 = 5,786.68/x
  3. Step 3: Cross multiply
    9,957x = 14,912.68 × 5,786.68
  4. Step 4: Simplify right side
    9,957x = 86,294,907.10
  5. Step 5: Solve for x
    x = 86,294,907.10/9,957
  6. Step 6: Final answer
    x = 8,666.76

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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.