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Finding the Fourth Proportional to 6,838.18, 9,435.54 and 3,812.64

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Solution

The fourth proportional to 6,838.18, 9,435.54 and 3,812.64 is: 5,260.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.18 : 9,435.54 = 3,812.64 : x
  2. Step 2: Convert to fraction form
    6,838.18/9,435.54 = 3,812.64/x
  3. Step 3: Cross multiply
    6,838.18x = 9,435.54 × 3,812.64
  4. Step 4: Simplify right side
    6,838.18x = 35,974,317.23
  5. Step 5: Solve for x
    x = 35,974,317.23/6,838.18
  6. Step 6: Final answer
    x = 5,260.80

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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.