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Finding the Fourth Proportional to 9,753.14, 14,630.11 and 3,179.38

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Solution

The fourth proportional to 9,753.14, 14,630.11 and 3,179.38 is: 4,769.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,753.14 : 14,630.11 = 3,179.38 : x
  2. Step 2: Convert to fraction form
    9,753.14/14,630.11 = 3,179.38/x
  3. Step 3: Cross multiply
    9,753.14x = 14,630.11 × 3,179.38
  4. Step 4: Simplify right side
    9,753.14x = 46,514,634.61
  5. Step 5: Solve for x
    x = 46,514,634.61/9,753.14
  6. Step 6: Final answer
    x = 4,769.20

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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.