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Finding the Fourth Proportional to 6,431.88, 9,647.64 and 2,049.60

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Solution

The fourth proportional to 6,431.88, 9,647.64 and 2,049.60 is: 3,074.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431.88 : 9,647.64 = 2,049.60 : x
  2. Step 2: Convert to fraction form
    6,431.88/9,647.64 = 2,049.60/x
  3. Step 3: Cross multiply
    6,431.88x = 9,647.64 × 2,049.60
  4. Step 4: Simplify right side
    6,431.88x = 19,773,802.94
  5. Step 5: Solve for x
    x = 19,773,802.94/6,431.88
  6. Step 6: Final answer
    x = 3,074.34

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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.