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Finding the Fourth Proportional to 6,933.32, 9,567.96 and 3,789.50

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Solution

The fourth proportional to 6,933.32, 9,567.96 and 3,789.50 is: 5,229.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,933.32 : 9,567.96 = 3,789.50 : x
  2. Step 2: Convert to fraction form
    6,933.32/9,567.96 = 3,789.50/x
  3. Step 3: Cross multiply
    6,933.32x = 9,567.96 × 3,789.50
  4. Step 4: Simplify right side
    6,933.32x = 36,257,784.42
  5. Step 5: Solve for x
    x = 36,257,784.42/6,933.32
  6. Step 6: Final answer
    x = 5,229.50

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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.