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Finding the Fourth Proportional to 9,019.92, 13,530.69 and 2,446.14

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Solution

The fourth proportional to 9,019.92, 13,530.69 and 2,446.14 is: 3,669.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,019.92 : 13,530.69 = 2,446.14 : x
  2. Step 2: Convert to fraction form
    9,019.92/13,530.69 = 2,446.14/x
  3. Step 3: Cross multiply
    9,019.92x = 13,530.69 × 2,446.14
  4. Step 4: Simplify right side
    9,019.92x = 33,097,962.04
  5. Step 5: Solve for x
    x = 33,097,962.04/9,019.92
  6. Step 6: Final answer
    x = 3,669.43

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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.