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Finding the Fourth Proportional to 6,911.30, 9,532.73 and 4,257.86

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Solution

The fourth proportional to 6,911.30, 9,532.73 and 4,257.86 is: 5,872.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911.30 : 9,532.73 = 4,257.86 : x
  2. Step 2: Convert to fraction form
    6,911.30/9,532.73 = 4,257.86/x
  3. Step 3: Cross multiply
    6,911.30x = 9,532.73 × 4,257.86
  4. Step 4: Simplify right side
    6,911.30x = 40,589,029.76
  5. Step 5: Solve for x
    x = 40,589,029.76/6,911.30
  6. Step 6: Final answer
    x = 5,872.85

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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.