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Finding the Fourth Proportional to 6,499.46, 9,728.96 and 3,530.48

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Solution

The fourth proportional to 6,499.46, 9,728.96 and 3,530.48 is: 5,284.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,499.46 : 9,728.96 = 3,530.48 : x
  2. Step 2: Convert to fraction form
    6,499.46/9,728.96 = 3,530.48/x
  3. Step 3: Cross multiply
    6,499.46x = 9,728.96 × 3,530.48
  4. Step 4: Simplify right side
    6,499.46x = 34,347,858.88
  5. Step 5: Solve for x
    x = 34,347,858.88/6,499.46
  6. Step 6: Final answer
    x = 5,284.73

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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.