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Finding the Fourth Proportional to 9,813.38, 13,542.21 and 5,337.03

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Solution

The fourth proportional to 9,813.38, 13,542.21 and 5,337.03 is: 7,364.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,813.38 : 13,542.21 = 5,337.03 : x
  2. Step 2: Convert to fraction form
    9,813.38/13,542.21 = 5,337.03/x
  3. Step 3: Cross multiply
    9,813.38x = 13,542.21 × 5,337.03
  4. Step 4: Simplify right side
    9,813.38x = 72,275,181.04
  5. Step 5: Solve for x
    x = 72,275,181.04/9,813.38
  6. Step 6: Final answer
    x = 7,364.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.