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Finding the Fourth Proportional to 6,932.69, 9,566.91 and 3,788.88

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Solution

The fourth proportional to 6,932.69, 9,566.91 and 3,788.88 is: 5,228.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,932.69 : 9,566.91 = 3,788.88 : x
  2. Step 2: Convert to fraction form
    6,932.69/9,566.91 = 3,788.88/x
  3. Step 3: Cross multiply
    6,932.69x = 9,566.91 × 3,788.88
  4. Step 4: Simplify right side
    6,932.69x = 36,247,838.08
  5. Step 5: Solve for x
    x = 36,247,838.08/6,932.69
  6. Step 6: Final answer
    x = 5,228.54

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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.