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Finding the Fourth Proportional to 9,828.38, 13,563.07 and 5,352.12

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Solution

The fourth proportional to 9,828.38, 13,563.07 and 5,352.12 is: 7,385.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,828.38 : 13,563.07 = 5,352.12 : x
  2. Step 2: Convert to fraction form
    9,828.38/13,563.07 = 5,352.12/x
  3. Step 3: Cross multiply
    9,828.38x = 13,563.07 × 5,352.12
  4. Step 4: Simplify right side
    9,828.38x = 72,591,178.21
  5. Step 5: Solve for x
    x = 72,591,178.21/9,828.38
  6. Step 6: Final answer
    x = 7,385.87

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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.