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Finding the Fourth Proportional to 9,834.11, 13,571.11 and 5,357.88

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Solution

The fourth proportional to 9,834.11, 13,571.11 and 5,357.88 is: 7,393.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,834.11 : 13,571.11 = 5,357.88 : x
  2. Step 2: Convert to fraction form
    9,834.11/13,571.11 = 5,357.88/x
  3. Step 3: Cross multiply
    9,834.11x = 13,571.11 × 5,357.88
  4. Step 4: Simplify right side
    9,834.11x = 72,712,385.54
  5. Step 5: Solve for x
    x = 72,712,385.54/9,834.11
  6. Step 6: Final answer
    x = 7,393.89

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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.