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Finding the Fourth Proportional to 6,932.68, 9,567.49 and 4,573.15

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Solution

The fourth proportional to 6,932.68, 9,567.49 and 4,573.15 is: 6,311.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,932.68 : 9,567.49 = 4,573.15 : x
  2. Step 2: Convert to fraction form
    6,932.68/9,567.49 = 4,573.15/x
  3. Step 3: Cross multiply
    6,932.68x = 9,567.49 × 4,573.15
  4. Step 4: Simplify right side
    6,932.68x = 43,753,531.54
  5. Step 5: Solve for x
    x = 43,753,531.54/6,932.68
  6. Step 6: Final answer
    x = 6,311.20

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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.