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Finding the Fourth Proportional to 6,494.17, 9,740.18 and 2,333.41

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Solution

The fourth proportional to 6,494.17, 9,740.18 and 2,333.41 is: 3,499.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.17 : 9,740.18 = 2,333.41 : x
  2. Step 2: Convert to fraction form
    6,494.17/9,740.18 = 2,333.41/x
  3. Step 3: Cross multiply
    6,494.17x = 9,740.18 × 2,333.41
  4. Step 4: Simplify right side
    6,494.17x = 22,727,833.41
  5. Step 5: Solve for x
    x = 22,727,833.41/6,494.17
  6. Step 6: Final answer
    x = 3,499.73

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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.