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Finding the Fourth Proportional to 6,963.41, 9,609.14 and 3,818.99

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Solution

The fourth proportional to 6,963.41, 9,609.14 and 3,818.99 is: 5,270.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,963.41 : 9,609.14 = 3,818.99 : x
  2. Step 2: Convert to fraction form
    6,963.41/9,609.14 = 3,818.99/x
  3. Step 3: Cross multiply
    6,963.41x = 9,609.14 × 3,818.99
  4. Step 4: Simplify right side
    6,963.41x = 36,697,142.43
  5. Step 5: Solve for x
    x = 36,697,142.43/6,963.41
  6. Step 6: Final answer
    x = 5,270.00

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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.