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Finding the Fourth Proportional to 9,874.24, 13,617.62 and 8,192.98

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Solution

The fourth proportional to 9,874.24, 13,617.62 and 8,192.98 is: 11,298.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,874.24 : 13,617.62 = 8,192.98 : x
  2. Step 2: Convert to fraction form
    9,874.24/13,617.62 = 8,192.98/x
  3. Step 3: Cross multiply
    9,874.24x = 13,617.62 × 8,192.98
  4. Step 4: Simplify right side
    9,874.24x = 111,568,888.31
  5. Step 5: Solve for x
    x = 111,568,888.31/9,874.24
  6. Step 6: Final answer
    x = 11,298.98

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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.