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Finding the Fourth Proportional to 6,400.29, 9,599.70 and 2,015.34

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Solution

The fourth proportional to 6,400.29, 9,599.70 and 2,015.34 is: 3,022.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.29 : 9,599.70 = 2,015.34 : x
  2. Step 2: Convert to fraction form
    6,400.29/9,599.70 = 2,015.34/x
  3. Step 3: Cross multiply
    6,400.29x = 9,599.70 × 2,015.34
  4. Step 4: Simplify right side
    6,400.29x = 19,346,659.40
  5. Step 5: Solve for x
    x = 19,346,659.40/6,400.29
  6. Step 6: Final answer
    x = 3,022.78

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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.