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Finding the Fourth Proportional to 6,328.82, 9,493.16 and 2,434.07

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Solution

The fourth proportional to 6,328.82, 9,493.16 and 2,434.07 is: 3,651.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,328.82 : 9,493.16 = 2,434.07 : x
  2. Step 2: Convert to fraction form
    6,328.82/9,493.16 = 2,434.07/x
  3. Step 3: Cross multiply
    6,328.82x = 9,493.16 × 2,434.07
  4. Step 4: Simplify right side
    6,328.82x = 23,106,956.33
  5. Step 5: Solve for x
    x = 23,106,956.33/6,328.82
  6. Step 6: Final answer
    x = 3,651.07

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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.