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Finding the Fourth Proportional to 9,174.83, 12,661.31 and 5,196.72

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Solution

The fourth proportional to 9,174.83, 12,661.31 and 5,196.72 is: 7,171.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,174.83 : 12,661.31 = 5,196.72 : x
  2. Step 2: Convert to fraction form
    9,174.83/12,661.31 = 5,196.72/x
  3. Step 3: Cross multiply
    9,174.83x = 12,661.31 × 5,196.72
  4. Step 4: Simplify right side
    9,174.83x = 65,797,295.90
  5. Step 5: Solve for x
    x = 65,797,295.90/9,174.83
  6. Step 6: Final answer
    x = 7,171.50

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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.