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Finding the Fourth Proportional to 9,753.14, 14,627.88 and 3,179.58

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Solution

The fourth proportional to 9,753.14, 14,627.88 and 3,179.58 is: 4,768.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,753.14 : 14,627.88 = 3,179.58 : x
  2. Step 2: Convert to fraction form
    9,753.14/14,627.88 = 3,179.58/x
  3. Step 3: Cross multiply
    9,753.14x = 14,627.88 × 3,179.58
  4. Step 4: Simplify right side
    9,753.14x = 46,510,514.69
  5. Step 5: Solve for x
    x = 46,510,514.69/9,753.14
  6. Step 6: Final answer
    x = 4,768.78

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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.