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Finding the Fourth Proportional to 6,493.68, 9,733.68 and 2,795.04

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Solution

The fourth proportional to 6,493.68, 9,733.68 and 2,795.04 is: 4,189.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.68 : 9,733.68 = 2,795.04 : x
  2. Step 2: Convert to fraction form
    6,493.68/9,733.68 = 2,795.04/x
  3. Step 3: Cross multiply
    6,493.68x = 9,733.68 × 2,795.04
  4. Step 4: Simplify right side
    6,493.68x = 27,206,024.95
  5. Step 5: Solve for x
    x = 27,206,024.95/6,493.68
  6. Step 6: Final answer
    x = 4,189.62

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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.