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Finding the Fourth Proportional to 6,811.46, 9,400.32 and 4,159.38

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Solution

The fourth proportional to 6,811.46, 9,400.32 and 4,159.38 is: 5,740.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811.46 : 9,400.32 = 4,159.38 : x
  2. Step 2: Convert to fraction form
    6,811.46/9,400.32 = 4,159.38/x
  3. Step 3: Cross multiply
    6,811.46x = 9,400.32 × 4,159.38
  4. Step 4: Simplify right side
    6,811.46x = 39,099,503.00
  5. Step 5: Solve for x
    x = 39,099,503.00/6,811.46
  6. Step 6: Final answer
    x = 5,740.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.