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Finding the Fourth Proportional to 9,180.96, 12,668.16 and 5,201.25

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Solution

The fourth proportional to 9,180.96, 12,668.16 and 5,201.25 is: 7,176.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,180.96 : 12,668.16 = 5,201.25 : x
  2. Step 2: Convert to fraction form
    9,180.96/12,668.16 = 5,201.25/x
  3. Step 3: Cross multiply
    9,180.96x = 12,668.16 × 5,201.25
  4. Step 4: Simplify right side
    9,180.96x = 65,890,267.20
  5. Step 5: Solve for x
    x = 65,890,267.20/9,180.96
  6. Step 6: Final answer
    x = 7,176.84

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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.