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Finding the Fourth Proportional to 9,096.48, 13,641.12 and 5,399.67

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Solution

The fourth proportional to 9,096.48, 13,641.12 and 5,399.67 is: 8,097.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,096.48 : 13,641.12 = 5,399.67 : x
  2. Step 2: Convert to fraction form
    9,096.48/13,641.12 = 5,399.67/x
  3. Step 3: Cross multiply
    9,096.48x = 13,641.12 × 5,399.67
  4. Step 4: Simplify right side
    9,096.48x = 73,657,546.43
  5. Step 5: Solve for x
    x = 73,657,546.43/9,096.48
  6. Step 6: Final answer
    x = 8,097.37

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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.