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Finding the Fourth Proportional to 10,949.62, 16,409.28 and 9,485.14

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Solution

The fourth proportional to 10,949.62, 16,409.28 and 9,485.14 is: 14,214.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,949.62 : 16,409.28 = 9,485.14 : x
  2. Step 2: Convert to fraction form
    10,949.62/16,409.28 = 9,485.14/x
  3. Step 3: Cross multiply
    10,949.62x = 16,409.28 × 9,485.14
  4. Step 4: Simplify right side
    10,949.62x = 155,644,318.10
  5. Step 5: Solve for x
    x = 155,644,318.10/10,949.62
  6. Step 6: Final answer
    x = 14,214.59

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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.