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Finding the Fourth Proportional to 9,834.98, 13,571.80 and 5,358.71

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Solution

The fourth proportional to 9,834.98, 13,571.80 and 5,358.71 is: 7,394.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,834.98 : 13,571.80 = 5,358.71 : x
  2. Step 2: Convert to fraction form
    9,834.98/13,571.80 = 5,358.71/x
  3. Step 3: Cross multiply
    9,834.98x = 13,571.80 × 5,358.71
  4. Step 4: Simplify right side
    9,834.98x = 72,727,340.38
  5. Step 5: Solve for x
    x = 72,727,340.38/9,834.98
  6. Step 6: Final answer
    x = 7,394.76

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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.