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Finding the Fourth Proportional to 6,932.94, 9,567.18 and 3,789.24

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Solution

The fourth proportional to 6,932.94, 9,567.18 and 3,789.24 is: 5,229.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,932.94 : 9,567.18 = 3,789.24 : x
  2. Step 2: Convert to fraction form
    6,932.94/9,567.18 = 3,789.24/x
  3. Step 3: Cross multiply
    6,932.94x = 9,567.18 × 3,789.24
  4. Step 4: Simplify right side
    6,932.94x = 36,252,341.14
  5. Step 5: Solve for x
    x = 36,252,341.14/6,932.94
  6. Step 6: Final answer
    x = 5,229.00

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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.