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Finding the Fourth Proportional to 6,685.96, 9,226.97 and 3,702.12

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Solution

The fourth proportional to 6,685.96, 9,226.97 and 3,702.12 is: 5,109.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,685.96 : 9,226.97 = 3,702.12 : x
  2. Step 2: Convert to fraction form
    6,685.96/9,226.97 = 3,702.12/x
  3. Step 3: Cross multiply
    6,685.96x = 9,226.97 × 3,702.12
  4. Step 4: Simplify right side
    6,685.96x = 34,159,354.73
  5. Step 5: Solve for x
    x = 34,159,354.73/6,685.96
  6. Step 6: Final answer
    x = 5,109.12

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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.