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Finding the Fourth Proportional to 6,694.90, 9,236.04 and 4,706.74

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Solution

The fourth proportional to 6,694.90, 9,236.04 and 4,706.74 is: 6,493.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,694.90 : 9,236.04 = 4,706.74 : x
  2. Step 2: Convert to fraction form
    6,694.90/9,236.04 = 4,706.74/x
  3. Step 3: Cross multiply
    6,694.90x = 9,236.04 × 4,706.74
  4. Step 4: Simplify right side
    6,694.90x = 43,471,638.91
  5. Step 5: Solve for x
    x = 43,471,638.91/6,694.90
  6. Step 6: Final answer
    x = 6,493.25

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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.