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Finding the Fourth Proportional to 9,491.15, 14,237.10 and 3,567.41

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Solution

The fourth proportional to 9,491.15, 14,237.10 and 3,567.41 is: 5,351.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491.15 : 14,237.10 = 3,567.41 : x
  2. Step 2: Convert to fraction form
    9,491.15/14,237.10 = 3,567.41/x
  3. Step 3: Cross multiply
    9,491.15x = 14,237.10 × 3,567.41
  4. Step 4: Simplify right side
    9,491.15x = 50,789,608.50
  5. Step 5: Solve for x
    x = 50,789,608.50/9,491.15
  6. Step 6: Final answer
    x = 5,351.26

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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.