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Finding the Fourth Proportional to 6,650.85, 9,178.23 and 3,666.80

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Solution

The fourth proportional to 6,650.85, 9,178.23 and 3,666.80 is: 5,060.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,650.85 : 9,178.23 = 3,666.80 : x
  2. Step 2: Convert to fraction form
    6,650.85/9,178.23 = 3,666.80/x
  3. Step 3: Cross multiply
    6,650.85x = 9,178.23 × 3,666.80
  4. Step 4: Simplify right side
    6,650.85x = 33,654,733.76
  5. Step 5: Solve for x
    x = 33,654,733.76/6,650.85
  6. Step 6: Final answer
    x = 5,060.22

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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.