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Finding the Fourth Proportional to 8,646.97, 12,968.38 and 3,964.06

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Solution

The fourth proportional to 8,646.97, 12,968.38 and 3,964.06 is: 5,945.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,646.97 : 12,968.38 = 3,964.06 : x
  2. Step 2: Convert to fraction form
    8,646.97/12,968.38 = 3,964.06/x
  3. Step 3: Cross multiply
    8,646.97x = 12,968.38 × 3,964.06
  4. Step 4: Simplify right side
    8,646.97x = 51,407,436.42
  5. Step 5: Solve for x
    x = 51,407,436.42/8,646.97
  6. Step 6: Final answer
    x = 5,945.14

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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.