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Finding the Fourth Proportional to 9,099.34, 13,627.10 and 6,168.76

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Solution

The fourth proportional to 9,099.34, 13,627.10 and 6,168.76 is: 9,238.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,099.34 : 13,627.10 = 6,168.76 : x
  2. Step 2: Convert to fraction form
    9,099.34/13,627.10 = 6,168.76/x
  3. Step 3: Cross multiply
    9,099.34x = 13,627.10 × 6,168.76
  4. Step 4: Simplify right side
    9,099.34x = 84,062,290.75
  5. Step 5: Solve for x
    x = 84,062,290.75/9,099.34
  6. Step 6: Final answer
    x = 9,238.29

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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.