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Finding the Fourth Proportional to 8,822.14, 12,174.69 and 4,843.20

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Solution

The fourth proportional to 8,822.14, 12,174.69 and 4,843.20 is: 6,683.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,822.14 : 12,174.69 = 4,843.20 : x
  2. Step 2: Convert to fraction form
    8,822.14/12,174.69 = 4,843.20/x
  3. Step 3: Cross multiply
    8,822.14x = 12,174.69 × 4,843.20
  4. Step 4: Simplify right side
    8,822.14x = 58,964,458.61
  5. Step 5: Solve for x
    x = 58,964,458.61/8,822.14
  6. Step 6: Final answer
    x = 6,683.69

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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.