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Finding the Fourth Proportional to 6,221.90, 9,332.91 and 4,029.50

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Solution

The fourth proportional to 6,221.90, 9,332.91 and 4,029.50 is: 6,044.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,221.90 : 9,332.91 = 4,029.50 : x
  2. Step 2: Convert to fraction form
    6,221.90/9,332.91 = 4,029.50/x
  3. Step 3: Cross multiply
    6,221.90x = 9,332.91 × 4,029.50
  4. Step 4: Simplify right side
    6,221.90x = 37,606,914.18
  5. Step 5: Solve for x
    x = 37,606,914.18/6,221.90
  6. Step 6: Final answer
    x = 6,044.29

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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.