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Finding the Fourth Proportional to 6,812.76, 9,401.70 and 4,123.56

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Solution

The fourth proportional to 6,812.76, 9,401.70 and 4,123.56 is: 5,690.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,812.76 : 9,401.70 = 4,123.56 : x
  2. Step 2: Convert to fraction form
    6,812.76/9,401.70 = 4,123.56/x
  3. Step 3: Cross multiply
    6,812.76x = 9,401.70 × 4,123.56
  4. Step 4: Simplify right side
    6,812.76x = 38,768,474.05
  5. Step 5: Solve for x
    x = 38,768,474.05/6,812.76
  6. Step 6: Final answer
    x = 5,690.57

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