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Finding the Fourth Proportional to 9,813.11, 13,542.03 and 5,336.78

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Solution

The fourth proportional to 9,813.11, 13,542.03 and 5,336.78 is: 7,364.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,813.11 : 13,542.03 = 5,336.78 : x
  2. Step 2: Convert to fraction form
    9,813.11/13,542.03 = 5,336.78/x
  3. Step 3: Cross multiply
    9,813.11x = 13,542.03 × 5,336.78
  4. Step 4: Simplify right side
    9,813.11x = 72,270,834.86
  5. Step 5: Solve for x
    x = 72,270,834.86/9,813.11
  6. Step 6: Final answer
    x = 7,364.72

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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.