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Finding the Fourth Proportional to 7,601.72, 11,393.46 and 6,428.03

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Solution

The fourth proportional to 7,601.72, 11,393.46 and 6,428.03 is: 9,634.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,601.72 : 11,393.46 = 6,428.03 : x
  2. Step 2: Convert to fraction form
    7,601.72/11,393.46 = 6,428.03/x
  3. Step 3: Cross multiply
    7,601.72x = 11,393.46 × 6,428.03
  4. Step 4: Simplify right side
    7,601.72x = 73,237,445.72
  5. Step 5: Solve for x
    x = 73,237,445.72/7,601.72
  6. Step 6: Final answer
    x = 9,634.33

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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.