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Finding the Fourth Proportional to 6,499.83, 9,729.53 and 3,530.85

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Solution

The fourth proportional to 6,499.83, 9,729.53 and 3,530.85 is: 5,285.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,499.83 : 9,729.53 = 3,530.85 : x
  2. Step 2: Convert to fraction form
    6,499.83/9,729.53 = 3,530.85/x
  3. Step 3: Cross multiply
    6,499.83x = 9,729.53 × 3,530.85
  4. Step 4: Simplify right side
    6,499.83x = 34,353,493.35
  5. Step 5: Solve for x
    x = 34,353,493.35/6,499.83
  6. Step 6: Final answer
    x = 5,285.29

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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.