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Finding the Fourth Proportional to 8,439.47, 11,646.84 and 4,662.64

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Solution

The fourth proportional to 8,439.47, 11,646.84 and 4,662.64 is: 6,434.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,439.47 : 11,646.84 = 4,662.64 : x
  2. Step 2: Convert to fraction form
    8,439.47/11,646.84 = 4,662.64/x
  3. Step 3: Cross multiply
    8,439.47x = 11,646.84 × 4,662.64
  4. Step 4: Simplify right side
    8,439.47x = 54,304,995.12
  5. Step 5: Solve for x
    x = 54,304,995.12/8,439.47
  6. Step 6: Final answer
    x = 6,434.65

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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.