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Finding the Fourth Proportional to 6,727, 9,284.07 and 3,932.50

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Solution

The fourth proportional to 6,727, 9,284.07 and 3,932.50 is: 5,427.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,727 : 9,284.07 = 3,932.50 : x
  2. Step 2: Convert to fraction form
    6,727/9,284.07 = 3,932.50/x
  3. Step 3: Cross multiply
    6,727x = 9,284.07 × 3,932.50
  4. Step 4: Simplify right side
    6,727x = 36,509,605.28
  5. Step 5: Solve for x
    x = 36,509,605.28/6,727
  6. Step 6: Final answer
    x = 5,427.32

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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.