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Finding the Fourth Proportional to 6,428.12, 9,642.20 and 1,811.12

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Solution

The fourth proportional to 6,428.12, 9,642.20 and 1,811.12 is: 2,716.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,428.12 : 9,642.20 = 1,811.12 : x
  2. Step 2: Convert to fraction form
    6,428.12/9,642.20 = 1,811.12/x
  3. Step 3: Cross multiply
    6,428.12x = 9,642.20 × 1,811.12
  4. Step 4: Simplify right side
    6,428.12x = 17,463,181.26
  5. Step 5: Solve for x
    x = 17,463,181.26/6,428.12
  6. Step 6: Final answer
    x = 2,716.69

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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.