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Finding the Fourth Proportional to 8,436.42, 12,654.54 and 3,243.42

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Solution

The fourth proportional to 8,436.42, 12,654.54 and 3,243.42 is: 4,865.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,436.42 : 12,654.54 = 3,243.42 : x
  2. Step 2: Convert to fraction form
    8,436.42/12,654.54 = 3,243.42/x
  3. Step 3: Cross multiply
    8,436.42x = 12,654.54 × 3,243.42
  4. Step 4: Simplify right side
    8,436.42x = 41,043,988.13
  5. Step 5: Solve for x
    x = 41,043,988.13/8,436.42
  6. Step 6: Final answer
    x = 4,865.10

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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.