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Finding the Fourth Proportional to 9,813.39, 13,542.53 and 5,337.12

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Solution

The fourth proportional to 9,813.39, 13,542.53 and 5,337.12 is: 7,365.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,813.39 : 13,542.53 = 5,337.12 : x
  2. Step 2: Convert to fraction form
    9,813.39/13,542.53 = 5,337.12/x
  3. Step 3: Cross multiply
    9,813.39x = 13,542.53 × 5,337.12
  4. Step 4: Simplify right side
    9,813.39x = 72,278,081.03
  5. Step 5: Solve for x
    x = 72,278,081.03/9,813.39
  6. Step 6: Final answer
    x = 7,365.25

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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.