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Finding the Fourth Proportional to 9,906.69, 14,849.56 and 3,662.69

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Solution

The fourth proportional to 9,906.69, 14,849.56 and 3,662.69 is: 5,490.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,906.69 : 14,849.56 = 3,662.69 : x
  2. Step 2: Convert to fraction form
    9,906.69/14,849.56 = 3,662.69/x
  3. Step 3: Cross multiply
    9,906.69x = 14,849.56 × 3,662.69
  4. Step 4: Simplify right side
    9,906.69x = 54,389,325.76
  5. Step 5: Solve for x
    x = 54,389,325.76/9,906.69
  6. Step 6: Final answer
    x = 5,490.16

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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.