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Finding the Fourth Proportional to 6,402.24, 9,604.44 and 2,019.60

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Solution

The fourth proportional to 6,402.24, 9,604.44 and 2,019.60 is: 3,029.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402.24 : 9,604.44 = 2,019.60 : x
  2. Step 2: Convert to fraction form
    6,402.24/9,604.44 = 2,019.60/x
  3. Step 3: Cross multiply
    6,402.24x = 9,604.44 × 2,019.60
  4. Step 4: Simplify right side
    6,402.24x = 19,397,127.02
  5. Step 5: Solve for x
    x = 19,397,127.02/6,402.24
  6. Step 6: Final answer
    x = 3,029.74

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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.