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Finding the Fourth Proportional to 7,677.45, 11,499.17 and 6,209.73

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Solution

The fourth proportional to 7,677.45, 11,499.17 and 6,209.73 is: 9,300.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677.45 : 11,499.17 = 6,209.73 : x
  2. Step 2: Convert to fraction form
    7,677.45/11,499.17 = 6,209.73/x
  3. Step 3: Cross multiply
    7,677.45x = 11,499.17 × 6,209.73
  4. Step 4: Simplify right side
    7,677.45x = 71,406,709.88
  5. Step 5: Solve for x
    x = 71,406,709.88/7,677.45
  6. Step 6: Final answer
    x = 9,300.84

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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.