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Finding the Fourth Proportional to 9,178.18, 12,668.14 and 5,201.64

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Solution

The fourth proportional to 9,178.18, 12,668.14 and 5,201.64 is: 7,179.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,178.18 : 12,668.14 = 5,201.64 : x
  2. Step 2: Convert to fraction form
    9,178.18/12,668.14 = 5,201.64/x
  3. Step 3: Cross multiply
    9,178.18x = 12,668.14 × 5,201.64
  4. Step 4: Simplify right side
    9,178.18x = 65,895,103.75
  5. Step 5: Solve for x
    x = 65,895,103.75/9,178.18
  6. Step 6: Final answer
    x = 7,179.54

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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.