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Finding the Fourth Proportional to 9,180.50, 12,668.96 and 5,202.38

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Solution

The fourth proportional to 9,180.50, 12,668.96 and 5,202.38 is: 7,179.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,180.50 : 12,668.96 = 5,202.38 : x
  2. Step 2: Convert to fraction form
    9,180.50/12,668.96 = 5,202.38/x
  3. Step 3: Cross multiply
    9,180.50x = 12,668.96 × 5,202.38
  4. Step 4: Simplify right side
    9,180.50x = 65,908,788.80
  5. Step 5: Solve for x
    x = 65,908,788.80/9,180.50
  6. Step 6: Final answer
    x = 7,179.22

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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.