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Finding the Fourth Proportional to 9,019.17, 13,529.42 and 3,096.49

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Solution

The fourth proportional to 9,019.17, 13,529.42 and 3,096.49 is: 4,644.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,019.17 : 13,529.42 = 3,096.49 : x
  2. Step 2: Convert to fraction form
    9,019.17/13,529.42 = 3,096.49/x
  3. Step 3: Cross multiply
    9,019.17x = 13,529.42 × 3,096.49
  4. Step 4: Simplify right side
    9,019.17x = 41,893,713.74
  5. Step 5: Solve for x
    x = 41,893,713.74/9,019.17
  6. Step 6: Final answer
    x = 4,644.96

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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.