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Finding the Fourth Proportional to 9,494.20, 13,173.52 and 9,222.04

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Solution

The fourth proportional to 9,494.20, 13,173.52 and 9,222.04 is: 12,795.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494.20 : 13,173.52 = 9,222.04 : x
  2. Step 2: Convert to fraction form
    9,494.20/13,173.52 = 9,222.04/x
  3. Step 3: Cross multiply
    9,494.20x = 13,173.52 × 9,222.04
  4. Step 4: Simplify right side
    9,494.20x = 121,486,728.38
  5. Step 5: Solve for x
    x = 121,486,728.38/9,494.20
  6. Step 6: Final answer
    x = 12,795.89

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.