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Finding the Fourth Proportional to 9,006.23, 13,481.65 and 7,677.62

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Solution

The fourth proportional to 9,006.23, 13,481.65 and 7,677.62 is: 11,492.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,006.23 : 13,481.65 = 7,677.62 : x
  2. Step 2: Convert to fraction form
    9,006.23/13,481.65 = 7,677.62/x
  3. Step 3: Cross multiply
    9,006.23x = 13,481.65 × 7,677.62
  4. Step 4: Simplify right side
    9,006.23x = 103,507,028.97
  5. Step 5: Solve for x
    x = 103,507,028.97/9,006.23
  6. Step 6: Final answer
    x = 11,492.83

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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.