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Finding the Fourth Proportional to 6,095.92, 8,412.41 and 3,301.42

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Solution

The fourth proportional to 6,095.92, 8,412.41 and 3,301.42 is: 4,555.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,095.92 : 8,412.41 = 3,301.42 : x
  2. Step 2: Convert to fraction form
    6,095.92/8,412.41 = 3,301.42/x
  3. Step 3: Cross multiply
    6,095.92x = 8,412.41 × 3,301.42
  4. Step 4: Simplify right side
    6,095.92x = 27,772,898.62
  5. Step 5: Solve for x
    x = 27,772,898.62/6,095.92
  6. Step 6: Final answer
    x = 4,555.98

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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.