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Finding the Fourth Proportional to 9,682.62, 14,525.82 and 3,108.30

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Solution

The fourth proportional to 9,682.62, 14,525.82 and 3,108.30 is: 4,663.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.62 : 14,525.82 = 3,108.30 : x
  2. Step 2: Convert to fraction form
    9,682.62/14,525.82 = 3,108.30/x
  3. Step 3: Cross multiply
    9,682.62x = 14,525.82 × 3,108.30
  4. Step 4: Simplify right side
    9,682.62x = 45,150,518.14
  5. Step 5: Solve for x
    x = 45,150,518.14/9,682.62
  6. Step 6: Final answer
    x = 4,663.05

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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.