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Finding the Fourth Proportional to 6,434.16, 9,694.49 and 5,818.56

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Solution

The fourth proportional to 6,434.16, 9,694.49 and 5,818.56 is: 8,766.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434.16 : 9,694.49 = 5,818.56 : x
  2. Step 2: Convert to fraction form
    6,434.16/9,694.49 = 5,818.56/x
  3. Step 3: Cross multiply
    6,434.16x = 9,694.49 × 5,818.56
  4. Step 4: Simplify right side
    6,434.16x = 56,407,971.73
  5. Step 5: Solve for x
    x = 56,407,971.73/6,434.16
  6. Step 6: Final answer
    x = 8,766.95

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.