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Finding the Fourth Proportional to 6,125.28, 9,140.93 and 5,469.18

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Solution

The fourth proportional to 6,125.28, 9,140.93 and 5,469.18 is: 8,161.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,125.28 : 9,140.93 = 5,469.18 : x
  2. Step 2: Convert to fraction form
    6,125.28/9,140.93 = 5,469.18/x
  3. Step 3: Cross multiply
    6,125.28x = 9,140.93 × 5,469.18
  4. Step 4: Simplify right side
    6,125.28x = 49,993,364.19
  5. Step 5: Solve for x
    x = 49,993,364.19/6,125.28
  6. Step 6: Final answer
    x = 8,161.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.