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Finding the Fourth Proportional to 6,392.34, 9,564.21 and 3,849.93

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Solution

The fourth proportional to 6,392.34, 9,564.21 and 3,849.93 is: 5,760.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,392.34 : 9,564.21 = 3,849.93 : x
  2. Step 2: Convert to fraction form
    6,392.34/9,564.21 = 3,849.93/x
  3. Step 3: Cross multiply
    6,392.34x = 9,564.21 × 3,849.93
  4. Step 4: Simplify right side
    6,392.34x = 36,821,539.01
  5. Step 5: Solve for x
    x = 36,821,539.01/6,392.34
  6. Step 6: Final answer
    x = 5,760.26

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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.