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Finding the Fourth Proportional to 6,812.57, 9,401.40 and 4,123.85

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Solution

The fourth proportional to 6,812.57, 9,401.40 and 4,123.85 is: 5,690.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,812.57 : 9,401.40 = 4,123.85 : x
  2. Step 2: Convert to fraction form
    6,812.57/9,401.40 = 4,123.85/x
  3. Step 3: Cross multiply
    6,812.57x = 9,401.40 × 4,123.85
  4. Step 4: Simplify right side
    6,812.57x = 38,769,916.38
  5. Step 5: Solve for x
    x = 38,769,916.38/6,812.57
  6. Step 6: Final answer
    x = 5,690.94

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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.