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Finding the Fourth Proportional to 6,812.88, 9,402.18 and 4,161.15

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Solution

The fourth proportional to 6,812.88, 9,402.18 and 4,161.15 is: 5,742.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,812.88 : 9,402.18 = 4,161.15 : x
  2. Step 2: Convert to fraction form
    6,812.88/9,402.18 = 4,161.15/x
  3. Step 3: Cross multiply
    6,812.88x = 9,402.18 × 4,161.15
  4. Step 4: Simplify right side
    6,812.88x = 39,123,881.31
  5. Step 5: Solve for x
    x = 39,123,881.31/6,812.88
  6. Step 6: Final answer
    x = 5,742.63

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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.