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Finding the Fourth Proportional to 6,431.55, 9,647.34 and 2,049.40

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Solution

The fourth proportional to 6,431.55, 9,647.34 and 2,049.40 is: 3,074.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431.55 : 9,647.34 = 2,049.40 : x
  2. Step 2: Convert to fraction form
    6,431.55/9,647.34 = 2,049.40/x
  3. Step 3: Cross multiply
    6,431.55x = 9,647.34 × 2,049.40
  4. Step 4: Simplify right side
    6,431.55x = 19,771,258.60
  5. Step 5: Solve for x
    x = 19,771,258.60/6,431.55
  6. Step 6: Final answer
    x = 3,074.10

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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.