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Finding the Fourth Proportional to 6,402.80, 9,604.20 and 3,292.40

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Solution

The fourth proportional to 6,402.80, 9,604.20 and 3,292.40 is: 4,938.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402.80 : 9,604.20 = 3,292.40 : x
  2. Step 2: Convert to fraction form
    6,402.80/9,604.20 = 3,292.40/x
  3. Step 3: Cross multiply
    6,402.80x = 9,604.20 × 3,292.40
  4. Step 4: Simplify right side
    6,402.80x = 31,620,868.08
  5. Step 5: Solve for x
    x = 31,620,868.08/6,402.80
  6. Step 6: Final answer
    x = 4,938.60

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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.