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Finding the Fourth Proportional to 9,933.96, 14,900.94 and 6,493.08

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Solution

The fourth proportional to 9,933.96, 14,900.94 and 6,493.08 is: 9,739.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,933.96 : 14,900.94 = 6,493.08 : x
  2. Step 2: Convert to fraction form
    9,933.96/14,900.94 = 6,493.08/x
  3. Step 3: Cross multiply
    9,933.96x = 14,900.94 × 6,493.08
  4. Step 4: Simplify right side
    9,933.96x = 96,752,995.50
  5. Step 5: Solve for x
    x = 96,752,995.50/9,933.96
  6. Step 6: Final answer
    x = 9,739.62

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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.