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Finding the Fourth Proportional to 6,635.82, 9,158.82 and 3,803.64

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Solution

The fourth proportional to 6,635.82, 9,158.82 and 3,803.64 is: 5,249.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,635.82 : 9,158.82 = 3,803.64 : x
  2. Step 2: Convert to fraction form
    6,635.82/9,158.82 = 3,803.64/x
  3. Step 3: Cross multiply
    6,635.82x = 9,158.82 × 3,803.64
  4. Step 4: Simplify right side
    6,635.82x = 34,836,854.10
  5. Step 5: Solve for x
    x = 34,836,854.10/6,635.82
  6. Step 6: Final answer
    x = 5,249.82

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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.