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Finding the Fourth Proportional to 6,025.37, 9,037.01 and 1,642.83

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Solution

The fourth proportional to 6,025.37, 9,037.01 and 1,642.83 is: 2,463.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,025.37 : 9,037.01 = 1,642.83 : x
  2. Step 2: Convert to fraction form
    6,025.37/9,037.01 = 1,642.83/x
  3. Step 3: Cross multiply
    6,025.37x = 9,037.01 × 1,642.83
  4. Step 4: Simplify right side
    6,025.37x = 14,846,241.36
  5. Step 5: Solve for x
    x = 14,846,241.36/6,025.37
  6. Step 6: Final answer
    x = 2,463.96

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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.