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Finding the Fourth Proportional to 6,428.78, 9,644.31 and 2,271.20

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Solution

The fourth proportional to 6,428.78, 9,644.31 and 2,271.20 is: 3,407.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,428.78 : 9,644.31 = 2,271.20 : x
  2. Step 2: Convert to fraction form
    6,428.78/9,644.31 = 2,271.20/x
  3. Step 3: Cross multiply
    6,428.78x = 9,644.31 × 2,271.20
  4. Step 4: Simplify right side
    6,428.78x = 21,904,132.76
  5. Step 5: Solve for x
    x = 21,904,132.76/6,428.78
  6. Step 6: Final answer
    x = 3,407.20

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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.