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Finding the Fourth Proportional to 6,431.80, 9,647.70 and 3,353.40

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Solution

The fourth proportional to 6,431.80, 9,647.70 and 3,353.40 is: 5,030.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431.80 : 9,647.70 = 3,353.40 : x
  2. Step 2: Convert to fraction form
    6,431.80/9,647.70 = 3,353.40/x
  3. Step 3: Cross multiply
    6,431.80x = 9,647.70 × 3,353.40
  4. Step 4: Simplify right side
    6,431.80x = 32,352,597.18
  5. Step 5: Solve for x
    x = 32,352,597.18/6,431.80
  6. Step 6: Final answer
    x = 5,030.10

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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.