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Finding the Fourth Proportional to 6,431.06, 9,644.14 and 2,270.30

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Solution

The fourth proportional to 6,431.06, 9,644.14 and 2,270.30 is: 3,404.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431.06 : 9,644.14 = 2,270.30 : x
  2. Step 2: Convert to fraction form
    6,431.06/9,644.14 = 2,270.30/x
  3. Step 3: Cross multiply
    6,431.06x = 9,644.14 × 2,270.30
  4. Step 4: Simplify right side
    6,431.06x = 21,895,031.47
  5. Step 5: Solve for x
    x = 21,895,031.47/6,431.06
  6. Step 6: Final answer
    x = 3,404.58

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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.