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Finding the Fourth Proportional to 6,209.70, 8,573.67 and 4,221.90

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Solution

The fourth proportional to 6,209.70, 8,573.67 and 4,221.90 is: 5,829.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209.70 : 8,573.67 = 4,221.90 : x
  2. Step 2: Convert to fraction form
    6,209.70/8,573.67 = 4,221.90/x
  3. Step 3: Cross multiply
    6,209.70x = 8,573.67 × 4,221.90
  4. Step 4: Simplify right side
    6,209.70x = 36,197,177.37
  5. Step 5: Solve for x
    x = 36,197,177.37/6,209.70
  6. Step 6: Final answer
    x = 5,829.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.