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Finding the Fourth Proportional to 6,794.40, 9,380.16 and 4,673.12

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Solution

The fourth proportional to 6,794.40, 9,380.16 and 4,673.12 is: 6,451.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,794.40 : 9,380.16 = 4,673.12 : x
  2. Step 2: Convert to fraction form
    6,794.40/9,380.16 = 4,673.12/x
  3. Step 3: Cross multiply
    6,794.40x = 9,380.16 × 4,673.12
  4. Step 4: Simplify right side
    6,794.40x = 43,834,613.30
  5. Step 5: Solve for x
    x = 43,834,613.30/6,794.40
  6. Step 6: Final answer
    x = 6,451.58

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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.