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Finding the Fourth Proportional to 9,888.82, 14,832.65 and 2,493.25

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Solution

The fourth proportional to 9,888.82, 14,832.65 and 2,493.25 is: 3,739.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,888.82 : 14,832.65 = 2,493.25 : x
  2. Step 2: Convert to fraction form
    9,888.82/14,832.65 = 2,493.25/x
  3. Step 3: Cross multiply
    9,888.82x = 14,832.65 × 2,493.25
  4. Step 4: Simplify right side
    9,888.82x = 36,981,473.76
  5. Step 5: Solve for x
    x = 36,981,473.76/9,888.82
  6. Step 6: Final answer
    x = 3,739.73

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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.