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Finding the Fourth Proportional to 9,193.56, 13,790.34 and 5,496.86

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Solution

The fourth proportional to 9,193.56, 13,790.34 and 5,496.86 is: 8,245.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,193.56 : 13,790.34 = 5,496.86 : x
  2. Step 2: Convert to fraction form
    9,193.56/13,790.34 = 5,496.86/x
  3. Step 3: Cross multiply
    9,193.56x = 13,790.34 × 5,496.86
  4. Step 4: Simplify right side
    9,193.56x = 75,803,499.38
  5. Step 5: Solve for x
    x = 75,803,499.38/9,193.56
  6. Step 6: Final answer
    x = 8,245.28

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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.