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Finding the Fourth Proportional to 6,285.78, 9,432.65 and 3,514.27

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Solution

The fourth proportional to 6,285.78, 9,432.65 and 3,514.27 is: 5,273.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,285.78 : 9,432.65 = 3,514.27 : x
  2. Step 2: Convert to fraction form
    6,285.78/9,432.65 = 3,514.27/x
  3. Step 3: Cross multiply
    6,285.78x = 9,432.65 × 3,514.27
  4. Step 4: Simplify right side
    6,285.78x = 33,148,861.34
  5. Step 5: Solve for x
    x = 33,148,861.34/6,285.78
  6. Step 6: Final answer
    x = 5,273.63

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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.