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Finding the Fourth Proportional to 6,311.61, 9,456.94 and 3,838.95

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Solution

The fourth proportional to 6,311.61, 9,456.94 and 3,838.95 is: 5,752.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.61 : 9,456.94 = 3,838.95 : x
  2. Step 2: Convert to fraction form
    6,311.61/9,456.94 = 3,838.95/x
  3. Step 3: Cross multiply
    6,311.61x = 9,456.94 × 3,838.95
  4. Step 4: Simplify right side
    6,311.61x = 36,304,719.81
  5. Step 5: Solve for x
    x = 36,304,719.81/6,311.61
  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.