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Finding the Fourth Proportional to 6,412.93, 9,620.36 and 2,028.93

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Solution

The fourth proportional to 6,412.93, 9,620.36 and 2,028.93 is: 3,043.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.93 : 9,620.36 = 2,028.93 : x
  2. Step 2: Convert to fraction form
    6,412.93/9,620.36 = 2,028.93/x
  3. Step 3: Cross multiply
    6,412.93x = 9,620.36 × 2,028.93
  4. Step 4: Simplify right side
    6,412.93x = 19,519,037.01
  5. Step 5: Solve for x
    x = 19,519,037.01/6,412.93
  6. Step 6: Final answer
    x = 3,043.70

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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.