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Finding the Fourth Proportional to 9,180.34, 12,668.80 and 5,202.22

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Solution

The fourth proportional to 9,180.34, 12,668.80 and 5,202.22 is: 7,179.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,180.34 : 12,668.80 = 5,202.22 : x
  2. Step 2: Convert to fraction form
    9,180.34/12,668.80 = 5,202.22/x
  3. Step 3: Cross multiply
    9,180.34x = 12,668.80 × 5,202.22
  4. Step 4: Simplify right side
    9,180.34x = 65,905,884.74
  5. Step 5: Solve for x
    x = 65,905,884.74/9,180.34
  6. Step 6: Final answer
    x = 7,179.02

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