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Finding the Fourth Proportional to 9,685.83, 14,514.88 and 5,517.24

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Solution

The fourth proportional to 9,685.83, 14,514.88 and 5,517.24 is: 8,267.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,685.83 : 14,514.88 = 5,517.24 : x
  2. Step 2: Convert to fraction form
    9,685.83/14,514.88 = 5,517.24/x
  3. Step 3: Cross multiply
    9,685.83x = 14,514.88 × 5,517.24
  4. Step 4: Simplify right side
    9,685.83x = 80,082,076.53
  5. Step 5: Solve for x
    x = 80,082,076.53/9,685.83
  6. Step 6: Final answer
    x = 8,267.96

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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.