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Finding the Fourth Proportional to 6,816.15, 9,402.28 and 4,293.81

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Solution

The fourth proportional to 6,816.15, 9,402.28 and 4,293.81 is: 5,922.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,816.15 : 9,402.28 = 4,293.81 : x
  2. Step 2: Convert to fraction form
    6,816.15/9,402.28 = 4,293.81/x
  3. Step 3: Cross multiply
    6,816.15x = 9,402.28 × 4,293.81
  4. Step 4: Simplify right side
    6,816.15x = 40,371,593.15
  5. Step 5: Solve for x
    x = 40,371,593.15/6,816.15
  6. Step 6: Final answer
    x = 5,922.93

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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.