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Finding the Fourth Proportional to 6,435.87, 9,635.60 and 4,090.05

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Solution

The fourth proportional to 6,435.87, 9,635.60 and 4,090.05 is: 6,123.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,435.87 : 9,635.60 = 4,090.05 : x
  2. Step 2: Convert to fraction form
    6,435.87/9,635.60 = 4,090.05/x
  3. Step 3: Cross multiply
    6,435.87x = 9,635.60 × 4,090.05
  4. Step 4: Simplify right side
    6,435.87x = 39,410,101.46
  5. Step 5: Solve for x
    x = 39,410,101.46/6,435.87
  6. Step 6: Final answer
    x = 6,123.51

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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.