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Finding the Fourth Proportional to 6,497.42, 8,965.89 and 3,844.36

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Solution

The fourth proportional to 6,497.42, 8,965.89 and 3,844.36 is: 5,304.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.42 : 8,965.89 = 3,844.36 : x
  2. Step 2: Convert to fraction form
    6,497.42/8,965.89 = 3,844.36/x
  3. Step 3: Cross multiply
    6,497.42x = 8,965.89 × 3,844.36
  4. Step 4: Simplify right side
    6,497.42x = 34,468,120.09
  5. Step 5: Solve for x
    x = 34,468,120.09/6,497.42
  6. Step 6: Final answer
    x = 5,304.90

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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.