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Finding the Fourth Proportional to 6,311.34, 9,456.55 and 3,838.68

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Solution

The fourth proportional to 6,311.34, 9,456.55 and 3,838.68 is: 5,751.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.34 : 9,456.55 = 3,838.68 : x
  2. Step 2: Convert to fraction form
    6,311.34/9,456.55 = 3,838.68/x
  3. Step 3: Cross multiply
    6,311.34x = 9,456.55 × 3,838.68
  4. Step 4: Simplify right side
    6,311.34x = 36,300,659.76
  5. Step 5: Solve for x
    x = 36,300,659.76/6,311.34
  6. Step 6: Final answer
    x = 5,751.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.