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Finding the Fourth Proportional to 9,753.78, 14,632.56 and 3,514.62

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Solution

The fourth proportional to 9,753.78, 14,632.56 and 3,514.62 is: 5,272.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,753.78 : 14,632.56 = 3,514.62 : x
  2. Step 2: Convert to fraction form
    9,753.78/14,632.56 = 3,514.62/x
  3. Step 3: Cross multiply
    9,753.78x = 14,632.56 × 3,514.62
  4. Step 4: Simplify right side
    9,753.78x = 51,427,888.03
  5. Step 5: Solve for x
    x = 51,427,888.03/9,753.78
  6. Step 6: Final answer
    x = 5,272.61

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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.