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Finding the Fourth Proportional to 6,634.97, 9,156.03 and 3,650.53

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Solution

The fourth proportional to 6,634.97, 9,156.03 and 3,650.53 is: 5,037.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,634.97 : 9,156.03 = 3,650.53 : x
  2. Step 2: Convert to fraction form
    6,634.97/9,156.03 = 3,650.53/x
  3. Step 3: Cross multiply
    6,634.97x = 9,156.03 × 3,650.53
  4. Step 4: Simplify right side
    6,634.97x = 33,424,316.42
  5. Step 5: Solve for x
    x = 33,424,316.42/6,634.97
  6. Step 6: Final answer
    x = 5,037.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.