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Finding the Fourth Proportional to 6,932.72, 9,567.25 and 3,788.91

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Solution

The fourth proportional to 6,932.72, 9,567.25 and 3,788.91 is: 5,228.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,932.72 : 9,567.25 = 3,788.91 : x
  2. Step 2: Convert to fraction form
    6,932.72/9,567.25 = 3,788.91/x
  3. Step 3: Cross multiply
    6,932.72x = 9,567.25 × 3,788.91
  4. Step 4: Simplify right side
    6,932.72x = 36,249,439.73
  5. Step 5: Solve for x
    x = 36,249,439.73/6,932.72
  6. Step 6: Final answer
    x = 5,228.75

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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.