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Finding the Fourth Proportional to 9,019.13, 13,528.89 and 3,096

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Solution

The fourth proportional to 9,019.13, 13,528.89 and 3,096 is: 4,644.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,019.13 : 13,528.89 = 3,096 : x
  2. Step 2: Convert to fraction form
    9,019.13/13,528.89 = 3,096/x
  3. Step 3: Cross multiply
    9,019.13x = 13,528.89 × 3,096
  4. Step 4: Simplify right side
    9,019.13x = 41,885,443.44
  5. Step 5: Solve for x
    x = 41,885,443.44/9,019.13
  6. Step 6: Final answer
    x = 4,644.07

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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.