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Finding the Fourth Proportional to 6,329.82, 9,498.81 and 3,410.16

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Solution

The fourth proportional to 6,329.82, 9,498.81 and 3,410.16 is: 5,117.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,329.82 : 9,498.81 = 3,410.16 : x
  2. Step 2: Convert to fraction form
    6,329.82/9,498.81 = 3,410.16/x
  3. Step 3: Cross multiply
    6,329.82x = 9,498.81 × 3,410.16
  4. Step 4: Simplify right side
    6,329.82x = 32,392,461.91
  5. Step 5: Solve for x
    x = 32,392,461.91/6,329.82
  6. Step 6: Final answer
    x = 5,117.44

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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.