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Finding the Fourth Proportional to 9,393.76, 14,082.34 and 3,546.27

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Solution

The fourth proportional to 9,393.76, 14,082.34 and 3,546.27 is: 5,316.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,393.76 : 14,082.34 = 3,546.27 : x
  2. Step 2: Convert to fraction form
    9,393.76/14,082.34 = 3,546.27/x
  3. Step 3: Cross multiply
    9,393.76x = 14,082.34 × 3,546.27
  4. Step 4: Simplify right side
    9,393.76x = 49,939,779.87
  5. Step 5: Solve for x
    x = 49,939,779.87/9,393.76
  6. Step 6: Final answer
    x = 5,316.27

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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.