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Finding the Fourth Proportional to 6,635.94, 9,157.84 and 3,652.00

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Solution

The fourth proportional to 6,635.94, 9,157.84 and 3,652.00 is: 5,039.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,635.94 : 9,157.84 = 3,652.00 : x
  2. Step 2: Convert to fraction form
    6,635.94/9,157.84 = 3,652.00/x
  3. Step 3: Cross multiply
    6,635.94x = 9,157.84 × 3,652.00
  4. Step 4: Simplify right side
    6,635.94x = 33,444,471.71
  5. Step 5: Solve for x
    x = 33,444,471.71/6,635.94
  6. Step 6: Final answer
    x = 5,039.90

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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.