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Finding the Fourth Proportional to 9,972.22, 13,748.89 and 8,173.08

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Solution

The fourth proportional to 9,972.22, 13,748.89 and 8,173.08 is: 11,268.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,972.22 : 13,748.89 = 8,173.08 : x
  2. Step 2: Convert to fraction form
    9,972.22/13,748.89 = 8,173.08/x
  3. Step 3: Cross multiply
    9,972.22x = 13,748.89 × 8,173.08
  4. Step 4: Simplify right side
    9,972.22x = 112,370,777.88
  5. Step 5: Solve for x
    x = 112,370,777.88/9,972.22
  6. Step 6: Final answer
    x = 11,268.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.