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Finding the Fourth Proportional to 9,836, 14,754.16 and 2,910.56

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Solution

The fourth proportional to 9,836, 14,754.16 and 2,910.56 is: 4,365.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,836 : 14,754.16 = 2,910.56 : x
  2. Step 2: Convert to fraction form
    9,836/14,754.16 = 2,910.56/x
  3. Step 3: Cross multiply
    9,836x = 14,754.16 × 2,910.56
  4. Step 4: Simplify right side
    9,836x = 42,942,867.93
  5. Step 5: Solve for x
    x = 42,942,867.93/9,836
  6. Step 6: Final answer
    x = 4,365.89

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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.