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Finding the Fourth Proportional to 9,096.36, 13,644.56 and 6,167.40

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Solution

The fourth proportional to 9,096.36, 13,644.56 and 6,167.40 is: 9,251.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,096.36 : 13,644.56 = 6,167.40 : x
  2. Step 2: Convert to fraction form
    9,096.36/13,644.56 = 6,167.40/x
  3. Step 3: Cross multiply
    9,096.36x = 13,644.56 × 6,167.40
  4. Step 4: Simplify right side
    9,096.36x = 84,151,459.34
  5. Step 5: Solve for x
    x = 84,151,459.34/9,096.36
  6. Step 6: Final answer
    x = 9,251.11

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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.