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Finding the Fourth Proportional to 6,402.11, 9,604.18 and 2,242.02

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Solution

The fourth proportional to 6,402.11, 9,604.18 and 2,242.02 is: 3,363.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402.11 : 9,604.18 = 2,242.02 : x
  2. Step 2: Convert to fraction form
    6,402.11/9,604.18 = 2,242.02/x
  3. Step 3: Cross multiply
    6,402.11x = 9,604.18 × 2,242.02
  4. Step 4: Simplify right side
    6,402.11x = 21,532,763.64
  5. Step 5: Solve for x
    x = 21,532,763.64/6,402.11
  6. Step 6: Final answer
    x = 3,363.39

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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.