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Finding the Fourth Proportional to 6,237.50, 9,358.68 and 2,342.21

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Solution

The fourth proportional to 6,237.50, 9,358.68 and 2,342.21 is: 3,514.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,237.50 : 9,358.68 = 2,342.21 : x
  2. Step 2: Convert to fraction form
    6,237.50/9,358.68 = 2,342.21/x
  3. Step 3: Cross multiply
    6,237.50x = 9,358.68 × 2,342.21
  4. Step 4: Simplify right side
    6,237.50x = 21,919,993.88
  5. Step 5: Solve for x
    x = 21,919,993.88/6,237.50
  6. Step 6: Final answer
    x = 3,514.23

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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.