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Finding the Fourth Proportional to 9,180.03, 12,668.20 and 5,201.52

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Solution

The fourth proportional to 9,180.03, 12,668.20 and 5,201.52 is: 7,177.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,180.03 : 12,668.20 = 5,201.52 : x
  2. Step 2: Convert to fraction form
    9,180.03/12,668.20 = 5,201.52/x
  3. Step 3: Cross multiply
    9,180.03x = 12,668.20 × 5,201.52
  4. Step 4: Simplify right side
    9,180.03x = 65,893,835.15
  5. Step 5: Solve for x
    x = 65,893,835.15/9,180.03
  6. Step 6: Final answer
    x = 7,177.95

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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.