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Finding the Fourth Proportional to 9,174.67, 12,663.30 and 5,198.13

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Solution

The fourth proportional to 9,174.67, 12,663.30 and 5,198.13 is: 7,174.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,174.67 : 12,663.30 = 5,198.13 : x
  2. Step 2: Convert to fraction form
    9,174.67/12,663.30 = 5,198.13/x
  3. Step 3: Cross multiply
    9,174.67x = 12,663.30 × 5,198.13
  4. Step 4: Simplify right side
    9,174.67x = 65,825,416.31
  5. Step 5: Solve for x
    x = 65,825,416.31/9,174.67
  6. Step 6: Final answer
    x = 7,174.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.