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Finding the Fourth Proportional to 9,096.88, 13,645.70 and 3,174.36

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Solution

The fourth proportional to 9,096.88, 13,645.70 and 3,174.36 is: 4,761.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,096.88 : 13,645.70 = 3,174.36 : x
  2. Step 2: Convert to fraction form
    9,096.88/13,645.70 = 3,174.36/x
  3. Step 3: Cross multiply
    9,096.88x = 13,645.70 × 3,174.36
  4. Step 4: Simplify right side
    9,096.88x = 43,316,372.19
  5. Step 5: Solve for x
    x = 43,316,372.19/9,096.88
  6. Step 6: Final answer
    x = 4,761.67

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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.