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Finding the Fourth Proportional to 6,811.96, 9,399.90 and 4,158.40

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Solution

The fourth proportional to 6,811.96, 9,399.90 and 4,158.40 is: 5,738.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811.96 : 9,399.90 = 4,158.40 : x
  2. Step 2: Convert to fraction form
    6,811.96/9,399.90 = 4,158.40/x
  3. Step 3: Cross multiply
    6,811.96x = 9,399.90 × 4,158.40
  4. Step 4: Simplify right side
    6,811.96x = 39,088,544.16
  5. Step 5: Solve for x
    x = 39,088,544.16/6,811.96
  6. Step 6: Final answer
    x = 5,738.22

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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.