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Finding the Fourth Proportional to 6,566.50, 9,061.77 and 3,772

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Solution

The fourth proportional to 6,566.50, 9,061.77 and 3,772 is: 5,205.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,566.50 : 9,061.77 = 3,772 : x
  2. Step 2: Convert to fraction form
    6,566.50/9,061.77 = 3,772/x
  3. Step 3: Cross multiply
    6,566.50x = 9,061.77 × 3,772
  4. Step 4: Simplify right side
    6,566.50x = 34,180,996.44
  5. Step 5: Solve for x
    x = 34,180,996.44/6,566.50
  6. Step 6: Final answer
    x = 5,205.36

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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.