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Finding the Fourth Proportional to 5,945.73, 8,209.11 and 5,314.23

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Solution

The fourth proportional to 5,945.73, 8,209.11 and 5,314.23 is: 7,337.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,945.73 : 8,209.11 = 5,314.23 : x
  2. Step 2: Convert to fraction form
    5,945.73/8,209.11 = 5,314.23/x
  3. Step 3: Cross multiply
    5,945.73x = 8,209.11 × 5,314.23
  4. Step 4: Simplify right side
    5,945.73x = 43,625,098.64
  5. Step 5: Solve for x
    x = 43,625,098.64/5,945.73
  6. Step 6: Final answer
    x = 7,337.21

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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.