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Finding the Fourth Proportional to 9,186.51, 13,770.99 and 2,942.49

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Solution

The fourth proportional to 9,186.51, 13,770.99 and 2,942.49 is: 4,410.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,186.51 : 13,770.99 = 2,942.49 : x
  2. Step 2: Convert to fraction form
    9,186.51/13,770.99 = 2,942.49/x
  3. Step 3: Cross multiply
    9,186.51x = 13,770.99 × 2,942.49
  4. Step 4: Simplify right side
    9,186.51x = 40,521,000.37
  5. Step 5: Solve for x
    x = 40,521,000.37/9,186.51
  6. Step 6: Final answer
    x = 4,410.92

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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.