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Finding the Fourth Proportional to 6,428.40, 9,643.74 and 2,270.82

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Solution

The fourth proportional to 6,428.40, 9,643.74 and 2,270.82 is: 3,406.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,428.40 : 9,643.74 = 2,270.82 : x
  2. Step 2: Convert to fraction form
    6,428.40/9,643.74 = 2,270.82/x
  3. Step 3: Cross multiply
    6,428.40x = 9,643.74 × 2,270.82
  4. Step 4: Simplify right side
    6,428.40x = 21,899,197.67
  5. Step 5: Solve for x
    x = 21,899,197.67/6,428.40
  6. Step 6: Final answer
    x = 3,406.63

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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.