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Finding the Fourth Proportional to 9,753.54, 14,632.74 and 3,180.42

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Solution

The fourth proportional to 9,753.54, 14,632.74 and 3,180.42 is: 4,771.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,753.54 : 14,632.74 = 3,180.42 : x
  2. Step 2: Convert to fraction form
    9,753.54/14,632.74 = 3,180.42/x
  3. Step 3: Cross multiply
    9,753.54x = 14,632.74 × 3,180.42
  4. Step 4: Simplify right side
    9,753.54x = 46,538,258.95
  5. Step 5: Solve for x
    x = 46,538,258.95/9,753.54
  6. Step 6: Final answer
    x = 4,771.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.