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Finding the Fourth Proportional to 9,096.04, 13,644.07 and 4,092.57

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Solution

The fourth proportional to 9,096.04, 13,644.07 and 4,092.57 is: 6,138.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,096.04 : 13,644.07 = 4,092.57 : x
  2. Step 2: Convert to fraction form
    9,096.04/13,644.07 = 4,092.57/x
  3. Step 3: Cross multiply
    9,096.04x = 13,644.07 × 4,092.57
  4. Step 4: Simplify right side
    9,096.04x = 55,839,291.10
  5. Step 5: Solve for x
    x = 55,839,291.10/9,096.04
  6. Step 6: Final answer
    x = 6,138.86

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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.