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Finding the Fourth Proportional to 6,497.14, 9,744.63 and 2,336.31

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Solution

The fourth proportional to 6,497.14, 9,744.63 and 2,336.31 is: 3,504.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.14 : 9,744.63 = 2,336.31 : x
  2. Step 2: Convert to fraction form
    6,497.14/9,744.63 = 2,336.31/x
  3. Step 3: Cross multiply
    6,497.14x = 9,744.63 × 2,336.31
  4. Step 4: Simplify right side
    6,497.14x = 22,766,476.52
  5. Step 5: Solve for x
    x = 22,766,476.52/6,497.14
  6. Step 6: Final answer
    x = 3,504.08

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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.