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Finding the Fourth Proportional to 6,311.59, 9,456.95 and 3,838.93

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Solution

The fourth proportional to 6,311.59, 9,456.95 and 3,838.93 is: 5,752.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.59 : 9,456.95 = 3,838.93 : x
  2. Step 2: Convert to fraction form
    6,311.59/9,456.95 = 3,838.93/x
  3. Step 3: Cross multiply
    6,311.59x = 9,456.95 × 3,838.93
  4. Step 4: Simplify right side
    6,311.59x = 36,304,555.02
  5. Step 5: Solve for x
    x = 36,304,555.02/6,311.59
  6. Step 6: Final answer
    x = 5,752.05

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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.