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Finding the Fourth Proportional to 9,481.98, 14,222.91 and 5,101.50

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Solution

The fourth proportional to 9,481.98, 14,222.91 and 5,101.50 is: 7,652.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,481.98 : 14,222.91 = 5,101.50 : x
  2. Step 2: Convert to fraction form
    9,481.98/14,222.91 = 5,101.50/x
  3. Step 3: Cross multiply
    9,481.98x = 14,222.91 × 5,101.50
  4. Step 4: Simplify right side
    9,481.98x = 72,558,175.37
  5. Step 5: Solve for x
    x = 72,558,175.37/9,481.98
  6. Step 6: Final answer
    x = 7,652.22

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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.