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Finding the Fourth Proportional to 9,871.98, 14,805.45 and 2,944.86

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Solution

The fourth proportional to 9,871.98, 14,805.45 and 2,944.86 is: 4,416.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,871.98 : 14,805.45 = 2,944.86 : x
  2. Step 2: Convert to fraction form
    9,871.98/14,805.45 = 2,944.86/x
  3. Step 3: Cross multiply
    9,871.98x = 14,805.45 × 2,944.86
  4. Step 4: Simplify right side
    9,871.98x = 43,599,977.49
  5. Step 5: Solve for x
    x = 43,599,977.49/9,871.98
  6. Step 6: Final answer
    x = 4,416.54

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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.