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Finding the Fourth Proportional to 9,179.55, 12,668.27 and 5,201.43

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Solution

The fourth proportional to 9,179.55, 12,668.27 and 5,201.43 is: 7,178.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,179.55 : 12,668.27 = 5,201.43 : x
  2. Step 2: Convert to fraction form
    9,179.55/12,668.27 = 5,201.43/x
  3. Step 3: Cross multiply
    9,179.55x = 12,668.27 × 5,201.43
  4. Step 4: Simplify right side
    9,179.55x = 65,893,164.30
  5. Step 5: Solve for x
    x = 65,893,164.30/9,179.55
  6. Step 6: Final answer
    x = 7,178.26

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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.