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Finding the Fourth Proportional to 9,651.36, 14,462.16 and 7,174.56

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Solution

The fourth proportional to 9,651.36, 14,462.16 and 7,174.56 is: 10,750.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,651.36 : 14,462.16 = 7,174.56 : x
  2. Step 2: Convert to fraction form
    9,651.36/14,462.16 = 7,174.56/x
  3. Step 3: Cross multiply
    9,651.36x = 14,462.16 × 7,174.56
  4. Step 4: Simplify right side
    9,651.36x = 103,759,634.65
  5. Step 5: Solve for x
    x = 103,759,634.65/9,651.36
  6. Step 6: Final answer
    x = 10,750.78

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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.