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Finding the Fourth Proportional to 6,812.04, 9,409.86 and 5,338.56

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Solution

The fourth proportional to 6,812.04, 9,409.86 and 5,338.56 is: 7,374.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,812.04 : 9,409.86 = 5,338.56 : x
  2. Step 2: Convert to fraction form
    6,812.04/9,409.86 = 5,338.56/x
  3. Step 3: Cross multiply
    6,812.04x = 9,409.86 × 5,338.56
  4. Step 4: Simplify right side
    6,812.04x = 50,235,102.20
  5. Step 5: Solve for x
    x = 50,235,102.20/6,812.04
  6. Step 6: Final answer
    x = 7,374.46

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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.