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Finding the Fourth Proportional to 6,819.36, 9,410.40 and 4,024.32

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Solution

The fourth proportional to 6,819.36, 9,410.40 and 4,024.32 is: 5,553.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,819.36 : 9,410.40 = 4,024.32 : x
  2. Step 2: Convert to fraction form
    6,819.36/9,410.40 = 4,024.32/x
  3. Step 3: Cross multiply
    6,819.36x = 9,410.40 × 4,024.32
  4. Step 4: Simplify right side
    6,819.36x = 37,870,460.93
  5. Step 5: Solve for x
    x = 37,870,460.93/6,819.36
  6. Step 6: Final answer
    x = 5,553.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.