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Finding the Fourth Proportional to 6,500.29, 9,751.88 and 3,577.09

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Solution

The fourth proportional to 6,500.29, 9,751.88 and 3,577.09 is: 5,366.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.29 : 9,751.88 = 3,577.09 : x
  2. Step 2: Convert to fraction form
    6,500.29/9,751.88 = 3,577.09/x
  3. Step 3: Cross multiply
    6,500.29x = 9,751.88 × 3,577.09
  4. Step 4: Simplify right side
    6,500.29x = 34,883,352.43
  5. Step 5: Solve for x
    x = 34,883,352.43/6,500.29
  6. Step 6: Final answer
    x = 5,366.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.