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Finding the Fourth Proportional to 6,428.30, 9,643.17 and 2,044.22

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Solution

The fourth proportional to 6,428.30, 9,643.17 and 2,044.22 is: 3,066.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,428.30 : 9,643.17 = 2,044.22 : x
  2. Step 2: Convert to fraction form
    6,428.30/9,643.17 = 2,044.22/x
  3. Step 3: Cross multiply
    6,428.30x = 9,643.17 × 2,044.22
  4. Step 4: Simplify right side
    6,428.30x = 19,712,760.98
  5. Step 5: Solve for x
    x = 19,712,760.98/6,428.30
  6. Step 6: Final answer
    x = 3,066.56

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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.