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Finding the Fourth Proportional to 6,932.56, 9,567.16 and 3,788.76

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Solution

The fourth proportional to 6,932.56, 9,567.16 and 3,788.76 is: 5,228.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,932.56 : 9,567.16 = 3,788.76 : x
  2. Step 2: Convert to fraction form
    6,932.56/9,567.16 = 3,788.76/x
  3. Step 3: Cross multiply
    6,932.56x = 9,567.16 × 3,788.76
  4. Step 4: Simplify right side
    6,932.56x = 36,247,673.12
  5. Step 5: Solve for x
    x = 36,247,673.12/6,932.56
  6. Step 6: Final answer
    x = 5,228.61

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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.