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Finding the Fourth Proportional to 8,564.72, 12,844.56 and 3,631.64

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Solution

The fourth proportional to 8,564.72, 12,844.56 and 3,631.64 is: 5,446.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.72 : 12,844.56 = 3,631.64 : x
  2. Step 2: Convert to fraction form
    8,564.72/12,844.56 = 3,631.64/x
  3. Step 3: Cross multiply
    8,564.72x = 12,844.56 × 3,631.64
  4. Step 4: Simplify right side
    8,564.72x = 46,646,817.88
  5. Step 5: Solve for x
    x = 46,646,817.88/8,564.72
  6. Step 6: Final answer
    x = 5,446.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.