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Finding the Fourth Proportional to 6,833.05, 9,418.53 and 5,338.36

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Solution

The fourth proportional to 6,833.05, 9,418.53 and 5,338.36 is: 7,358.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833.05 : 9,418.53 = 5,338.36 : x
  2. Step 2: Convert to fraction form
    6,833.05/9,418.53 = 5,338.36/x
  3. Step 3: Cross multiply
    6,833.05x = 9,418.53 × 5,338.36
  4. Step 4: Simplify right side
    6,833.05x = 50,279,503.81
  5. Step 5: Solve for x
    x = 50,279,503.81/6,833.05
  6. Step 6: Final answer
    x = 7,358.28

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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.