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Finding the Fourth Proportional to 9,562.38, 14,352.21 and 4,019.82

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Solution

The fourth proportional to 9,562.38, 14,352.21 and 4,019.82 is: 6,033.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,562.38 : 14,352.21 = 4,019.82 : x
  2. Step 2: Convert to fraction form
    9,562.38/14,352.21 = 4,019.82/x
  3. Step 3: Cross multiply
    9,562.38x = 14,352.21 × 4,019.82
  4. Step 4: Simplify right side
    9,562.38x = 57,693,300.80
  5. Step 5: Solve for x
    x = 57,693,300.80/9,562.38
  6. Step 6: Final answer
    x = 6,033.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.