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Finding the Fourth Proportional to 9,874.11, 13,617.45 and 8,192.86

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Solution

The fourth proportional to 9,874.11, 13,617.45 and 8,192.86 is: 11,298.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,874.11 : 13,617.45 = 8,192.86 : x
  2. Step 2: Convert to fraction form
    9,874.11/13,617.45 = 8,192.86/x
  3. Step 3: Cross multiply
    9,874.11x = 13,617.45 × 8,192.86
  4. Step 4: Simplify right side
    9,874.11x = 111,565,827.36
  5. Step 5: Solve for x
    x = 111,565,827.36/9,874.11
  6. Step 6: Final answer
    x = 11,298.82

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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.