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Finding the Fourth Proportional to 9,813.35, 13,542.33 and 5,337.14

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Solution

The fourth proportional to 9,813.35, 13,542.33 and 5,337.14 is: 7,365.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,813.35 : 13,542.33 = 5,337.14 : x
  2. Step 2: Convert to fraction form
    9,813.35/13,542.33 = 5,337.14/x
  3. Step 3: Cross multiply
    9,813.35x = 13,542.33 × 5,337.14
  4. Step 4: Simplify right side
    9,813.35x = 72,277,324.60
  5. Step 5: Solve for x
    x = 72,277,324.60/9,813.35
  6. Step 6: Final answer
    x = 7,365.20

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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.