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Finding the Fourth Proportional to 6,193.70, 9,300.96 and 3,859.16

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Solution

The fourth proportional to 6,193.70, 9,300.96 and 3,859.16 is: 5,795.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.70 : 9,300.96 = 3,859.16 : x
  2. Step 2: Convert to fraction form
    6,193.70/9,300.96 = 3,859.16/x
  3. Step 3: Cross multiply
    6,193.70x = 9,300.96 × 3,859.16
  4. Step 4: Simplify right side
    6,193.70x = 35,893,892.79
  5. Step 5: Solve for x
    x = 35,893,892.79/6,193.70
  6. Step 6: Final answer
    x = 5,795.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.