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Finding the Fourth Proportional to 9,813.62, 13,542.67 and 5,337.28

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Solution

The fourth proportional to 9,813.62, 13,542.67 and 5,337.28 is: 7,365.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,813.62 : 13,542.67 = 5,337.28 : x
  2. Step 2: Convert to fraction form
    9,813.62/13,542.67 = 5,337.28/x
  3. Step 3: Cross multiply
    9,813.62x = 13,542.67 × 5,337.28
  4. Step 4: Simplify right side
    9,813.62x = 72,280,944.27
  5. Step 5: Solve for x
    x = 72,280,944.27/9,813.62
  6. Step 6: Final answer
    x = 7,365.37

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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.