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Finding the Fourth Proportional to 6,812.66, 9,401.52 and 3,828.50

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Solution

The fourth proportional to 6,812.66, 9,401.52 and 3,828.50 is: 5,283.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,812.66 : 9,401.52 = 3,828.50 : x
  2. Step 2: Convert to fraction form
    6,812.66/9,401.52 = 3,828.50/x
  3. Step 3: Cross multiply
    6,812.66x = 9,401.52 × 3,828.50
  4. Step 4: Simplify right side
    6,812.66x = 35,993,719.32
  5. Step 5: Solve for x
    x = 35,993,719.32/6,812.66
  6. Step 6: Final answer
    x = 5,283.36

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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.