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Finding the Fourth Proportional to 6,483.68, 9,729.29 and 2,735.22

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Solution

The fourth proportional to 6,483.68, 9,729.29 and 2,735.22 is: 4,104.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,483.68 : 9,729.29 = 2,735.22 : x
  2. Step 2: Convert to fraction form
    6,483.68/9,729.29 = 2,735.22/x
  3. Step 3: Cross multiply
    6,483.68x = 9,729.29 × 2,735.22
  4. Step 4: Simplify right side
    6,483.68x = 26,611,748.59
  5. Step 5: Solve for x
    x = 26,611,748.59/6,483.68
  6. Step 6: Final answer
    x = 4,104.42

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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.